101000311321 has 24 divisors (see below), whose sum is σ = 130867728320. Its totient is φ = 75696516576.

The previous prime is 101000311273. The next prime is 101000311337. The reversal of 101000311321 is 123113000101.

It is not a de Polignac number, because 101000311321 - 2²⁵ = 100966756889 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 (101000311361) 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, 13210926 + ... + 13218568.

Almost surely, 2^101000311321 is an apocalyptic number.

It is an amenable number.

101000311321 is a deficient number, since it is larger than the sum of its proper divisors (29867416999).

101000311321 is an frugal number, since it uses more digits than its factorization.

101000311321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15325 (or 7682 counting only the distinct ones).

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

Adding to 101000311321 its reverse (123113000101), we get a palindrome (224113311422).

The spelling of 101000311321 in words is "one hundred one billion, three hundred eleven thousand, three hundred twenty-one".