113400310233300 has 288 divisors, whose sum is σ = 346220440473600. Its totient is φ = 28578297507840.

The previous prime is 113400310233269. The next prime is 113400310233311. The reversal of 113400310233300 is 3332013004311.

It is a happy number.

It is a super-2 number, since 2×113400310233300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9875489359 + ... + 9875500841.

It is an arithmetic number, because the mean of its divisors is an integer number (1202154307200).

Almost surely, 2^{113400310233300} is an apocalyptic number.

113400310233300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113400310233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173110220236800).

113400310233300 is an abundant number, since it is smaller than the sum of its proper divisors (232820130240300).

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

113400310233300 is a wasteful number, since it uses less digits than its factorization.

113400310233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15615 (or 15608 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 113400310233300 its reverse (3332013004311), we get a palindrome (116732323237611).

The spelling of 113400310233300 in words is "one hundred thirteen trillion, four hundred billion, three hundred ten million, two hundred thirty-three thousand, three hundred".