100322001013 has 48 divisors (see below), whose sum is σ = 116931064320. Its totient is φ = 85386292992.

The previous prime is 100322000939. The next prime is 100322001097. The reversal of 100322001013 is 310100223001.

It is not a de Polignac number, because 100322001013 - 2²⁵ = 100288446581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100322000984 and 100322001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100322001713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43674081 + ... + 43676377.

It is an arithmetic number, because the mean of its divisors is an integer number (2436063840).

Almost surely, 2^100322001013 is an apocalyptic number.

100322001013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100322001013 is a deficient number, since it is larger than the sum of its proper divisors (16609063307).

100322001013 is a wasteful number, since it uses less digits than its factorization.

100322001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100322001013 its reverse (310100223001), we get a palindrome (410422224014).

The spelling of 100322001013 in words is "one hundred billion, three hundred twenty-two million, one thousand, thirteen".