330005160811131 has 32 divisors (see below), whose sum is σ = 489141876615168. Its totient is φ = 196528037771520.

The previous prime is 330005160811097. The next prime is 330005160811141. The reversal of 330005160811131 is 131118061500033.

It is not a de Polignac number, because 330005160811131 - 2⁷ = 330005160811003 is a prime.

It is a super-2 number, since 2×330005160811131² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330005160811092 and 330005160811101.

It is not an unprimeable number, because it can be changed into a prime (330005160811141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252206175 + ... + 253511271.

It is an arithmetic number, because the mean of its divisors is an integer number (15285683644224).

Almost surely, 2^{330005160811131} is an apocalyptic number.

330005160811131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

330005160811131 is a deficient number, since it is larger than the sum of its proper divisors (159136715804037).

330005160811131 is a wasteful number, since it uses less digits than its factorization.

330005160811131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514291.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 330005160811131 in words is "three hundred thirty trillion, five billion, one hundred sixty million, eight hundred eleven thousand, one hundred thirty-one".