131133110032100 has 72 divisors (see below), whose sum is σ = 310463666553600. Its totient is φ = 47679263209600.

The previous prime is 131133110032097. The next prime is 131133110032123. The reversal of 131133110032100 is 1230011331131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2660141 + ... + 16411659.

It is an arithmetic number, because the mean of its divisors is an integer number (4311995368800).

Almost surely, 2^{131133110032100} is an apocalyptic number.

131133110032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131133110032100 is an abundant number, since it is smaller than the sum of its proper divisors (179330556521500).

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

131133110032100 is a wasteful number, since it uses less digits than its factorization.

131133110032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760213 (or 13760206 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131133110032100 its reverse (1230011331131), we get a palindrome (132363121363231).

The spelling of 131133110032100 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, one hundred ten million, thirty-two thousand, one hundred".