113214413432120 has 256 divisors, whose sum is σ = 362137097548800. Its totient is φ = 30657108418560.

The previous prime is 113214413432093. The next prime is 113214413432129. The reversal of 113214413432120 is 21234314412311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113214413432129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82482050 + ... + 83843409.

It is an arithmetic number, because the mean of its divisors is an integer number (1414598037300).

Almost surely, 2^{113214413432120} is an apocalyptic number.

113214413432120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113214413432120 is an abundant number, since it is smaller than the sum of its proper divisors (248922684116680).

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

113214413432120 is a wasteful number, since it uses less digits than its factorization.

113214413432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166325518 (or 166325514 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 113214413432120 its reverse (21234314412311), we get a palindrome (134448727844431).

The spelling of 113214413432120 in words is "one hundred thirteen trillion, two hundred fourteen billion, four hundred thirteen million, four hundred thirty-two thousand, one hundred twenty".