1121513121 has 25 divisors (see below), whose sum is σ = 1703269205. Its totient is φ = 735418440.

The previous prime is 1121513111. The next prime is 1121513147. The reversal of 1121513121 is 1213151211.

The square root of 1121513121 is 33489.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

1121513121 is a `hidden beast` number, since 11 + 21 + 513 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 980378721 + 141134400 = 31311^2 + 11880^2 .

It is not a de Polignac number, because 1121513121 - 2²⁹ = 584642209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121513094 and 1121513103.

It is not an unprimeable number, because it can be changed into a prime (1121513101) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 18385431 + ... + 18385491.

Almost surely, 2^1121513121 is an apocalyptic number.

1121513121 is the 33489-th square number.

1121513121 is the 16745-th centered octagonal number.

It is an amenable number.

1121513121 is a deficient number, since it is larger than the sum of its proper divisors (581756084).

1121513121 is an frugal number, since it uses more digits than its factorization.

1121513121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 64 counting only the distinct ones).

The product of its digits is 60, while the sum is 18.

The cubic root of 1121513121 is about 1038.9662808647.

Adding to 1121513121 its reverse (1213151211), we get a palindrome (2334664332).

It can be divided in two parts, 11215 and 13121, that added together give a square (24336 = 156²).

The spelling of 1121513121 in words is "one billion, one hundred twenty-one million, five hundred thirteen thousand, one hundred twenty-one".