10131376320 has 560 divisors, whose sum is σ = 39313457568. Its totient is φ = 2461777920.

The previous prime is 10131376301. The next prime is 10131376351. The reversal of 10131376320 is 2367313101.

10131376320 is a `hidden beast` number, since 1 + 0 + 13 + 13 + 7 + 632 + 0 = 666.

It is a super-2 number, since 2×10131376320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36054580 + ... + 36054860.

Almost surely, 2^10131376320 is an apocalyptic number.

10131376320 is a gapful number since it is divisible by the number (10) 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 10131376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656728784).

10131376320 is an abundant number, since it is smaller than the sum of its proper divisors (29182081248).

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

10131376320 is a wasteful number, since it uses less digits than its factorization.

10131376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 10131376320 its reverse (2367313101), we get a palindrome (12498689421).

The spelling of 10131376320 in words is "ten billion, one hundred thirty-one million, three hundred seventy-six thousand, three hundred twenty".