10131311520 has 288 divisors, whose sum is σ = 39114653760. Its totient is φ = 2455971840.

The previous prime is 10131311507. The next prime is 10131311549. The reversal of 10131311520 is 2511313101.

10131311520 is a `hidden beast` number, since 1 + 0 + 13 + 131 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10131311493 and 10131311502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415836 + ... + 439524.

It is an arithmetic number, because the mean of its divisors is an integer number (135814770).

Almost surely, 2^10131311520 is an apocalyptic number.

10131311520 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 10131311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557326880).

10131311520 is an abundant number, since it is smaller than the sum of its proper divisors (28983342240).

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

10131311520 is a wasteful number, since it uses less digits than its factorization.

10131311520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23730 (or 23710 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10131311520 its reverse (2511313101), we get a palindrome (12642624621).

The spelling of 10131311520 in words is "ten billion, one hundred thirty-one million, three hundred eleven thousand, five hundred twenty".