100313220131310 has 128 divisors (see below), whose sum is σ = 244108254970368. Its totient is φ = 26380392192000.

The previous prime is 100313220131297. The next prime is 100313220131329. The reversal of 100313220131310 is 13131022313001.

It is a happy number.

It is a super-2 number, since 2×100313220131310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382144005 + ... + 382406415.

It is an arithmetic number, because the mean of its divisors is an integer number (1907095741956).

Almost surely, 2^{100313220131310} is an apocalyptic number.

100313220131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100313220131310 is an abundant number, since it is smaller than the sum of its proper divisors (143795034839058).

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

100313220131310 is a wasteful number, since it uses less digits than its factorization.

100313220131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263170.

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

Adding to 100313220131310 its reverse (13131022313001), we get a palindrome (113444242444311).

The spelling of 100313220131310 in words is "one hundred trillion, three hundred thirteen billion, two hundred twenty million, one hundred thirty-one thousand, three hundred ten".