113313133110000 has 200 divisors, whose sum is σ = 369560941506064. Its totient is φ = 29905320960000.

The previous prime is 113313133109983. The next prime is 113313133110017. The reversal of 113313133110000 is 11331313311.

It is an interprime number because it is at equal distance from previous prime (113313133109983) and next prime (113313133110017).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×113313133110000² (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 39 ways as a sum of consecutive naturals, for example, 16559611 + ... + 22379610.

Almost surely, 2^{113313133110000} is an apocalyptic number.

113313133110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113313133110000 is an abundant number, since it is smaller than the sum of its proper divisors (256247808396064).

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

113313133110000 is an equidigital number, since it uses as much as digits as its factorization.

113313133110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38939349 (or 38939328 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 113313133110000 its reverse (11331313311), we get a palindrome (113324464423311).

113313133110000 divided by its reverse (11331313311) gives a 4-th power (10000 = 10⁴).

The spelling of 113313133110000 in words is "one hundred thirteen trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred ten thousand".