10101313200 has 120 divisors (see below), whose sum is σ = 35299544256. Its totient is φ = 2448800000.

The previous prime is 10101313199. The next prime is 10101313219. The reversal of 10101313200 is 231310101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 369426 + ... + 395825.

Almost surely, 2^10101313200 is an apocalyptic number.

10101313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101313200 is an abundant number, since it is smaller than the sum of its proper divisors (25198231056).

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

10101313200 is a wasteful number, since it uses less digits than its factorization.

10101313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765283 (or 765272 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10101313200 its reverse (231310101), we get a palindrome (10332623301).

The spelling of 10101313200 in words is "ten billion, one hundred one million, three hundred thirteen thousand, two hundred".