1013401140 has 96 divisors (see below), whose sum is σ = 2923361280. Its totient is φ = 262112256.

The previous prime is 1013401121. The next prime is 1013401153. The reversal of 1013401140 is 411043101.

1013401140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062904 + ... + 1063856.

It is an arithmetic number, because the mean of its divisors is an integer number (30451680).

Almost surely, 2^1013401140 is an apocalyptic number.

1013401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461680640).

1013401140 is an abundant number, since it is smaller than the sum of its proper divisors (1909960140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013401140 is a wasteful number, since it uses less digits than its factorization.

1013401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1013401140 is about 31833.9620531281. The cubic root of 1013401140 is about 1004.4472394092.

Adding to 1013401140 its reverse (411043101), we get a palindrome (1424444241).

It can be divided in two parts, 101340 and 1140, that multiplied together give a triangular number (115527600 = T₁₅₂₀₀).

The spelling of 1013401140 in words is "one billion, thirteen million, four hundred one thousand, one hundred forty".