102311013202000 has 80 divisors (see below), whose sum is σ = 247413063974544. Its totient is φ = 40920264000000.

The previous prime is 102311013201989. The next prime is 102311013202037. The reversal of 102311013202000 is 202310113201.

It can be written as a sum of positive squares in 8 ways, for example, as 37213806497344 + 65097206704656 = 6100312^2 + 8068284^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17218650 + ... + 22385350.

Almost surely, 2^{102311013202000} is an apocalyptic number.

102311013202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102311013202000 is an abundant number, since it is smaller than the sum of its proper divisors (145102050772544).

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

102311013202000 is an equidigital number, since it uses as much as digits as its factorization.

102311013202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176625 (or 5176609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102311013202000 its reverse (202310113201), we get a palindrome (102513323315201).

The spelling of 102311013202000 in words is "one hundred two trillion, three hundred eleven billion, thirteen million, two hundred two thousand".