10013111133000 has 128 divisors (see below), whose sum is σ = 31388969888640. Its totient is φ = 2657508000000.

The previous prime is 10013111132987. The next prime is 10013111133023. The reversal of 10013111133000 is 33111131001.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7276251 + ... + 8542250.

It is an arithmetic number, because the mean of its divisors is an integer number (245226327255).

Almost surely, 2^{10013111133000} is an apocalyptic number.

10013111133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013111133000 is an abundant number, since it is smaller than the sum of its proper divisors (21375858755640).

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

10013111133000 is a wasteful number, since it uses less digits than its factorization.

10013111133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15818736 (or 15818722 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10013111133000 its reverse (33111131001), we get a palindrome (10046222264001).

The spelling of 10013111133000 in words is "ten trillion, thirteen billion, one hundred eleven million, one hundred thirty-three thousand".