131331333100 has 72 divisors (see below), whose sum is σ = 312804854208. Its totient is φ = 47463796800.

The previous prime is 131331333097. The next prime is 131331333109. The reversal of 131331333100 is 1333133131.

It is a super-2 number, since 2×131331333100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (131331333109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186934 + ... + 545533.

It is an arithmetic number, because the mean of its divisors is an integer number (4344511864).

Almost surely, 2^131331333100 is an apocalyptic number.

131331333100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331333100 is an abundant number, since it is smaller than the sum of its proper divisors (181473521108).

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

131331333100 is a wasteful number, since it uses less digits than its factorization.

131331333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732655 (or 732648 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 131331333100 its reverse (1333133131), we get a palindrome (132664466231).

The spelling of 131331333100 in words is "one hundred thirty-one billion, three hundred thirty-one million, three hundred thirty-three thousand, one hundred".