101313413200 has 30 divisors (see below), whose sum is σ = 243405476174. Its totient is φ = 40525365120.

The previous prime is 101313413191. The next prime is 101313413261. The reversal of 101313413200 is 2314313101.

It can be written as a sum of positive squares in 3 ways, for example, as 11260605456 + 90052807744 = 106116^2 + 300088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126641367 + ... + 126642166.

Almost surely, 2^101313413200 is an apocalyptic number.

101313413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313413200 is an abundant number, since it is smaller than the sum of its proper divisors (142092062974).

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

101313413200 is a wasteful number, since it uses less digits than its factorization.

101313413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253283551 (or 253283540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101313413200 its reverse (2314313101), we get a palindrome (103627726301).

The spelling of 101313413200 in words is "one hundred one billion, three hundred thirteen million, four hundred thirteen thousand, two hundred".