10213311313200 has 120 divisors (see below), whose sum is σ = 33022403984448. Its totient is φ = 2698095914240.

The previous prime is 10213311313171. The next prime is 10213311313211. The reversal of 10213311313200 is 231311331201.

It is a happy number.

10213311313200 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 (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39643062 + ... + 39899861.

Almost surely, 2^{10213311313200} is an apocalyptic number.

10213311313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213311313200 is an abundant number, since it is smaller than the sum of its proper divisors (22809092671248).

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

10213311313200 is a wasteful number, since it uses less digits than its factorization.

10213311313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79543051 (or 79543040 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10213311313200 its reverse (231311331201), we get a palindrome (10444622644401).

The spelling of 10213311313200 in words is "ten trillion, two hundred thirteen billion, three hundred eleven million, three hundred thirteen thousand, two hundred".