131131010222010 has 96 divisors (see below), whose sum is σ = 342364936522752. Its totient is φ = 34822194485760.

The previous prime is 131131010221973. The next prime is 131131010222053. The reversal of 131131010222010 is 10222010131131.

131131010222010 is a `hidden beast` number, since 1 + 31 + 1 + 310 + 102 + 220 + 1 + 0 = 666.

It is a super-2 number, since 2×131131010222010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1101076687 + ... + 1101195773.

It is an arithmetic number, because the mean of its divisors is an integer number (3566301422112).

Almost surely, 2^{131131010222010} is an apocalyptic number.

131131010222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131131010222010 is an abundant number, since it is smaller than the sum of its proper divisors (211233926300742).

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

131131010222010 is a wasteful number, since it uses less digits than its factorization.

131131010222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170108 (or 170105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131131010222010 its reverse (10222010131131), we get a palindrome (141353020353141).

The spelling of 131131010222010 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, ten million, two hundred twenty-two thousand, ten".