10513109697792 has 144 divisors (see below), whose sum is σ = 30180298447488. Its totient is φ = 3229674577920.

The previous prime is 10513109697763. The next prime is 10513109697799. The reversal of 10513109697792 is 29779690131501.

It is a super-2 number, since 2×10513109697792² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513109697799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5465518 + ... + 7134290.

Almost surely, 2^{10513109697792} is an apocalyptic number.

10513109697792 is a gapful number since it is divisible by the number (12) 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 10513109697792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15090149223744).

10513109697792 is an abundant number, since it is smaller than the sum of its proper divisors (19667188749696).

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

10513109697792 is a wasteful number, since it uses less digits than its factorization.

10513109697792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669436 (or 1669422 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 60.

The spelling of 10513109697792 in words is "ten trillion, five hundred thirteen billion, one hundred nine million, six hundred ninety-seven thousand, seven hundred ninety-two".