131333010312 has 128 divisors (see below), whose sum is σ = 376619443200. Its totient is φ = 37385798400.

The previous prime is 131333010311. The next prime is 131333010313. The reversal of 131333010312 is 213010333131.

It is an interprime number because it is at equal distance from previous prime (131333010311) and next prime (131333010313).

It is a super-2 number, since 2×131333010312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131333010311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68011987 + ... + 68013917.

It is an arithmetic number, because the mean of its divisors is an integer number (2942339400).

Almost surely, 2^131333010312 is an apocalyptic number.

131333010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131333010312 is an abundant number, since it is smaller than the sum of its proper divisors (245286432888).

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

131333010312 is a wasteful number, since it uses less digits than its factorization.

131333010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131333010312 its reverse (213010333131), we get a palindrome (344343343443).

The spelling of 131333010312 in words is "one hundred thirty-one billion, three hundred thirty-three million, ten thousand, three hundred twelve".