113331001002120 has 320 divisors, whose sum is σ = 421399787783040. Its totient is φ = 27087221145600.

The previous prime is 113331001002103. The next prime is 113331001002139. The reversal of 113331001002120 is 21200100133311.

113331001002120 is a `hidden beast` number, since 1 + 133 + 310 + 0 + 10 + 0 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113331001002093 and 113331001002102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19863097 + ... + 24923976.

It is an arithmetic number, because the mean of its divisors is an integer number (1316874336822).

Almost surely, 2^{113331001002120} is an apocalyptic number.

113331001002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113331001002120 is an abundant number, since it is smaller than the sum of its proper divisors (308068786780920).

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

113331001002120 is a wasteful number, since it uses less digits than its factorization.

113331001002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44787178 (or 44787165 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113331001002120 its reverse (21200100133311), we get a palindrome (134531101135431).

The spelling of 113331001002120 in words is "one hundred thirteen trillion, three hundred thirty-one billion, one million, two thousand, one hundred twenty".