10313210211300 has 216 divisors, whose sum is σ = 32781708086400. Its totient is φ = 2711533743360.

The previous prime is 10313210211211. The next prime is 10313210211331. The reversal of 10313210211300 is 311201231301.

10313210211300 is a `hidden beast` number, since 1 + 0 + 31 + 321 + 0 + 2 + 11 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 50307607 + ... + 50512193.

Almost surely, 2^{10313210211300} is an apocalyptic number.

10313210211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313210211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390854043200).

10313210211300 is an abundant number, since it is smaller than the sum of its proper divisors (22468497875100).

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

10313210211300 is a wasteful number, since it uses less digits than its factorization.

10313210211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205395 (or 205385 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10313210211300 its reverse (311201231301), we get a palindrome (10624411442601).

The spelling of 10313210211300 in words is "ten trillion, three hundred thirteen billion, two hundred ten million, two hundred eleven thousand, three hundred".