1301334400 has 192 divisors, whose sum is σ = 3424446000. Its totient is φ = 487710720.

The previous prime is 1301334361. The next prime is 1301334401. The reversal of 1301334400 is 44331031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301334401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3433411 + ... + 3433789.

Almost surely, 2^1301334400 is an apocalyptic number.

1301334400 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 1301334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712223000).

1301334400 is an abundant number, since it is smaller than the sum of its proper divisors (2123111600).

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

1301334400 is a wasteful number, since it uses less digits than its factorization.

1301334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1301334400 is about 36074.0128070055. The cubic root of 1301334400 is about 1091.7661796380.

Adding to 1301334400 its reverse (44331031), we get a palindrome (1345665431).

The spelling of 1301334400 in words is "one billion, three hundred one million, three hundred thirty-four thousand, four hundred".