10513976121 has 32 divisors (see below), whose sum is σ = 17041420800. Its totient is φ = 6353681040.

The previous prime is 10513976063. The next prime is 10513976159. The reversal of 10513976121 is 12167931501.

It is a happy number.

10513976121 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 39 + 7 + 612 + 1 = 666.

It is not a de Polignac number, because 10513976121 - 2¹¹ = 10513974073 is a prime.

It is a super-2 number, since 2×10513976121² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10513976191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52050 + ... + 154068.

It is an arithmetic number, because the mean of its divisors is an integer number (532544400).

Almost surely, 2^10513976121 is an apocalyptic number.

10513976121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10513976121 is a deficient number, since it is larger than the sum of its proper divisors (6527444679).

10513976121 is a wasteful number, since it uses less digits than its factorization.

10513976121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102386 (or 102380 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10513976121 in words is "ten billion, five hundred thirteen million, nine hundred seventy-six thousand, one hundred twenty-one".