100201313310 has 64 divisors (see below), whose sum is σ = 277671324672. Its totient is φ = 22667037696.

The previous prime is 100201313291. The next prime is 100201313353. The reversal of 100201313310 is 13313102001.

It is a super-2 number, since 2×100201313310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100201313310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2439162 + ... + 2479901.

It is an arithmetic number, because the mean of its divisors is an integer number (4338614448).

Almost surely, 2^100201313310 is an apocalyptic number.

100201313310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201313310 is an abundant number, since it is smaller than the sum of its proper divisors (177470011362).

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

100201313310 is a wasteful number, since it uses less digits than its factorization.

100201313310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919177.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100201313310 its reverse (13313102001), we get a palindrome (113514415311).

The spelling of 100201313310 in words is "one hundred billion, two hundred one million, three hundred thirteen thousand, three hundred ten".