113132331213000 has 256 divisors, whose sum is σ = 385088314890240. Its totient is φ = 27424096736000.

The previous prime is 113132331212909. The next prime is 113132331213019. The reversal of 113132331213000 is 312133231311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502378429 + ... + 502603571.

It is an arithmetic number, because the mean of its divisors is an integer number (1504251230040).

Almost surely, 2^{113132331213000} is an apocalyptic number.

113132331213000 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 113132331213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192544157445120).

113132331213000 is an abundant number, since it is smaller than the sum of its proper divisors (271955983677240).

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

113132331213000 is a wasteful number, since it uses less digits than its factorization.

113132331213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240405 (or 240391 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 113132331213000 its reverse (312133231311), we get a palindrome (113444464444311).

It can be divided in two parts, 1131323 and 31213000, that added together give a palindrome (32344323).

The spelling of 113132331213000 in words is "one hundred thirteen trillion, one hundred thirty-two billion, three hundred thirty-one million, two hundred thirteen thousand".