113133101013320 has 128 divisors (see below), whose sum is σ = 266446067120640. Its totient is φ = 43150678179840.

The previous prime is 113133101013311. The next prime is 113133101013329. The reversal of 113133101013320 is 23310101331311.

It is an interprime number because it is at equal distance from previous prime (113133101013311) and next prime (113133101013329).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (113133101013329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792971432 + ... + 793114088.

It is an arithmetic number, because the mean of its divisors is an integer number (2081609899380).

Almost surely, 2^{113133101013320} is an apocalyptic number.

113133101013320 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 113133101013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133223033560320).

113133101013320 is an abundant number, since it is smaller than the sum of its proper divisors (153312966107320).

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

113133101013320 is a wasteful number, since it uses less digits than its factorization.

113133101013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145375 (or 145371 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 113133101013320 its reverse (23310101331311), we get a palindrome (136443202344631).

The spelling of 113133101013320 in words is "one hundred thirteen trillion, one hundred thirty-three billion, one hundred one million, thirteen thousand, three hundred twenty".