131112331103100 has 144 divisors (see below), whose sum is σ = 395991385894496. Its totient is φ = 33460656768000.

The previous prime is 131112331103093. The next prime is 131112331103107. The reversal of 131112331103100 is 1301133211131.

It is an interprime number because it is at equal distance from previous prime (131112331103093) and next prime (131112331103107).

It is a super-2 number, since 2×131112331103100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131112331103107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96141931 + ... + 97496130.

Almost surely, 2^{131112331103100} is an apocalyptic number.

131112331103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131112331103100 is an abundant number, since it is smaller than the sum of its proper divisors (264879054791396).

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

131112331103100 is a wasteful number, since it uses less digits than its factorization.

131112331103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193638176 (or 193638169 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 131112331103100 its reverse (1301133211131), we get a palindrome (132413464314231).

The spelling of 131112331103100 in words is "one hundred thirty-one trillion, one hundred twelve billion, three hundred thirty-one million, one hundred three thousand, one hundred".