100013310221310 has 48 divisors (see below), whose sum is σ = 260035533907344. Its totient is φ = 26670120948096.

The previous prime is 100013310221291. The next prime is 100013310221311. The reversal of 100013310221310 is 13122013310001.

100013310221310 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 331 + 0 + 2 + 21 + 310 = 666.

It is a super-2 number, since 2×100013310221310² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013310221311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25501834 + ... + 29161106.

It is an arithmetic number, because the mean of its divisors is an integer number (5417406956403).

Almost surely, 2^{100013310221310} is an apocalyptic number.

100013310221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100013310221310 is an abundant number, since it is smaller than the sum of its proper divisors (160022223686034).

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

100013310221310 is a wasteful number, since it uses less digits than its factorization.

100013310221310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962969 (or 3962966 counting only the distinct ones).

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

Adding to 100013310221310 its reverse (13122013310001), we get a palindrome (113135323531311).

The spelling of 100013310221310 in words is "one hundred trillion, thirteen billion, three hundred ten million, two hundred twenty-one thousand, three hundred ten".