113111310122100 has 144 divisors (see below), whose sum is σ = 363636491400000. Its totient is φ = 30162636466560.

The previous prime is 113111310122077. The next prime is 113111310122131. The reversal of 113111310122100 is 1221013111311.

113111310122100 is a `hidden beast` number, since 1 + 1 + 311 + 131 + 0 + 1 + 221 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263032462 + ... + 263462138.

It is an arithmetic number, because the mean of its divisors is an integer number (2525253412500).

Almost surely, 2^{113111310122100} is an apocalyptic number.

113111310122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113111310122100 is an abundant number, since it is smaller than the sum of its proper divisors (250525181277900).

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

113111310122100 is a wasteful number, since it uses less digits than its factorization.

113111310122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527199 (or 527186 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 113111310122100 its reverse (1221013111311), we get a palindrome (114332323233411).

The spelling of 113111310122100 in words is "one hundred thirteen trillion, one hundred eleven billion, three hundred ten million, one hundred twenty-two thousand, one hundred".