10311000012000 has 288 divisors, whose sum is σ = 37582763871744. Its totient is φ = 2675286144000.

The previous prime is 10311000011959. The next prime is 10311000012017. The reversal of 10311000012000 is 21000011301.

10311000012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2538496 + ... + 5202495.

It is an arithmetic number, because the mean of its divisors is an integer number (130495707888).

Almost surely, 2^{10311000012000} is an apocalyptic number.

10311000012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311000012000 is an abundant number, since it is smaller than the sum of its proper divisors (27271763859744).

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

10311000012000 is a wasteful number, since it uses less digits than its factorization.

10311000012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741059 (or 7741038 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10311000012000 its reverse (21000011301), we get a palindrome (10332000023301).

The spelling of 10311000012000 in words is "ten trillion, three hundred eleven billion, twelve thousand".