10131692882304 has 192 divisors, whose sum is σ = 32069722834800. Its totient is φ = 2824165048320.

The previous prime is 10131692882273. The next prime is 10131692882309. The reversal of 10131692882304 is 40328829613101.

10131692882304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10131692882304² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131692882309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5795149 + ... + 7338060.

Almost surely, 2^{10131692882304} is an apocalyptic number.

10131692882304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10131692882304 is an abundant number, since it is smaller than the sum of its proper divisors (21938029952496).

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

10131692882304 is a wasteful number, since it uses less digits than its factorization.

10131692882304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13133281 (or 13133262 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 10131692882304 in words is "ten trillion, one hundred thirty-one billion, six hundred ninety-two million, eight hundred eighty-two thousand, three hundred four".