100001131321 has 32 divisors (see below), whose sum is σ = 123807009536. Its totient is φ = 78654240000.

The previous prime is 100001131309. The next prime is 100001131331. The reversal of 100001131321 is 123131100001.

It is not a de Polignac number, because 100001131321 - 2¹⁷ = 100001000249 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100001131301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19601671 + ... + 19606771.

It is an arithmetic number, because the mean of its divisors is an integer number (3868969048).

Almost surely, 2^100001131321 is an apocalyptic number.

It is an amenable number.

100001131321 is a deficient number, since it is larger than the sum of its proper divisors (23805878215).

100001131321 is a wasteful number, since it uses less digits than its factorization.

100001131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100001131321 its reverse (123131100001), we get a palindrome (223132231322).

The spelling of 100001131321 in words is "one hundred billion, one million, one hundred thirty-one thousand, three hundred twenty-one".