10131976512 has 336 divisors, whose sum is σ = 34637504512. Its totient is φ = 2770744320.

The previous prime is 10131976501. The next prime is 10131976579. The reversal of 10131976512 is 21567913101.

It is a happy number.

10131976512 is a `hidden beast` number, since 1 + 0 + 131 + 9 + 7 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10131976512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12873783 + ... + 12874569.

Almost surely, 2^10131976512 is an apocalyptic number.

10131976512 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 10131976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17318752256).

10131976512 is an abundant number, since it is smaller than the sum of its proper divisors (24505528000).

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

10131976512 is a wasteful number, since it uses less digits than its factorization.

10131976512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 933 counting only the distinct ones).

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

The spelling of 10131976512 in words is "ten billion, one hundred thirty-one million, nine hundred seventy-six thousand, five hundred twelve".