131122313344100 has 72 divisors (see below), whose sum is σ = 307084581578880. Its totient is φ = 48309825674880.

The previous prime is 131122313344091. The next prime is 131122313344123. The reversal of 131122313344100 is 1443313221131.

It is a super-2 number, since 2×131122313344100² (a number of 29 digits) contains 22 as substring.

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, 108321770 + ... + 109525569.

It is an arithmetic number, because the mean of its divisors is an integer number (4265063633040).

Almost surely, 2^{131122313344100} is an apocalyptic number.

131122313344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131122313344100 is an abundant number, since it is smaller than the sum of its proper divisors (175962268234780).

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

131122313344100 is a wasteful number, since it uses less digits than its factorization.

131122313344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217847829 (or 217847822 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 131122313344100 its reverse (1443313221131), we get a palindrome (132565626565231).

The spelling of 131122313344100 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred forty-four thousand, one hundred".