131331123100 has 36 divisors (see below), whose sum is σ = 285085362744. Its totient is φ = 52514601280.

The previous prime is 131331123097. The next prime is 131331123103. The reversal of 131331123100 is 1321133131.

It is an interprime number because it is at equal distance from previous prime (131331123097) and next prime (131331123103).

It is a super-2 number, since 2×131331123100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331123103) 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 11 ways as a sum of consecutive naturals, for example, 74682 + ... + 517918.

It is an arithmetic number, because the mean of its divisors is an integer number (7919037854).

Almost surely, 2^131331123100 is an apocalyptic number.

131331123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331123100 is an abundant number, since it is smaller than the sum of its proper divisors (153754239644).

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

131331123100 is a wasteful number, since it uses less digits than its factorization.

131331123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446214 (or 446207 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131331123100 its reverse (1321133131), we get a palindrome (132652256231).

The spelling of 131331123100 in words is "one hundred thirty-one billion, three hundred thirty-one million, one hundred twenty-three thousand, one hundred".