113010331002000 has 640 divisors, whose sum is σ = 387222484746240. Its totient is φ = 28275261235200.

The previous prime is 113010331001987. The next prime is 113010331002029. The reversal of 113010331002000 is 200133010311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8585447419 + ... + 8585460581.

It is an arithmetic number, because the mean of its divisors is an integer number (605035132416).

Almost surely, 2^{113010331002000} is an apocalyptic number.

113010331002000 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 113010331002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193611242373120).

113010331002000 is an abundant number, since it is smaller than the sum of its proper divisors (274212153744240).

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

113010331002000 is a wasteful number, since it uses less digits than its factorization.

113010331002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928 (or 13912 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113010331002000 its reverse (200133010311), we get a palindrome (113210464012311).

The spelling of 113010331002000 in words is "one hundred thirteen trillion, ten billion, three hundred thirty-one million, two thousand".