331000013520 has 200 divisors, whose sum is σ = 1254122543520. Its totient is φ = 80242410240.

The previous prime is 331000013497. The next prime is 331000013567. The reversal of 331000013520 is 25310000133.

331000013520 is a `hidden beast` number, since 3 + 310 + 0 + 0 + 0 + 1 + 352 + 0 = 666.

It is a super-2 number, since 2×331000013520² (a number of 24 digits) contains 22 as substring.

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 = 331000013493 and 331000013502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2250550 + ... + 2393109.

Almost surely, 2^331000013520 is an apocalyptic number.

331000013520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331000013520 is an abundant number, since it is smaller than the sum of its proper divisors (923122530000).

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

331000013520 is a wasteful number, since it uses less digits than its factorization.

331000013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643695 (or 4643680 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 331000013520 its reverse (25310000133), we get a palindrome (356310013653).

The spelling of 331000013520 in words is "three hundred thirty-one billion, thirteen thousand, five hundred twenty".