10013123121000 has 128 divisors (see below), whose sum is σ = 31303555920000. Its totient is φ = 2664814732800.

The previous prime is 10013123120983. The next prime is 10013123121013. The reversal of 10013123121000 is 12132131001.

It is a happy number.

10013123121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1847397 + ... + 4841396.

It is an arithmetic number, because the mean of its divisors is an integer number (244559030625).

Almost surely, 2^{10013123121000} is an apocalyptic number.

10013123121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013123121000 is an abundant number, since it is smaller than the sum of its proper divisors (21290432799000).

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

10013123121000 is a wasteful number, since it uses less digits than its factorization.

10013123121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6689316 (or 6689302 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10013123121000 its reverse (12132131001), we get a palindrome (10025255252001).

The spelling of 10013123121000 in words is "ten trillion, thirteen billion, one hundred twenty-three million, one hundred twenty-one thousand".