10202131011000 has 128 divisors (see below), whose sum is σ = 31910830436160. Its totient is φ = 2713715136000.

The previous prime is 10202131010987. The next prime is 10202131011011. The reversal of 10202131011000 is 11013120201.

10202131011000 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 (12).

It is a congruent number.

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, 3092011 + ... + 5474010.

Almost surely, 2^{10202131011000} is an apocalyptic number.

10202131011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202131011000 is an abundant number, since it is smaller than the sum of its proper divisors (21708699425160).

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

10202131011000 is a wasteful number, since it uses less digits than its factorization.

10202131011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8566442 (or 8566428 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10202131011000 its reverse (11013120201), we get a palindrome (10213144131201).

The spelling of 10202131011000 in words is "ten trillion, two hundred two billion, one hundred thirty-one million, eleven thousand".