3002132220031 has 32 divisors (see below), whose sum is σ = 3824461854720. Its totient is φ = 2294163648000.

The previous prime is 3002132220007. The next prime is 3002132220049. The reversal of 3002132220031 is 1300222312003.

It is not a de Polignac number, because 3002132220031 - 2¹⁹ = 3002131695743 is a prime.

It is a super-2 number, since 2×3002132220031² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3002132219990 and 3002132220008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002132220001) 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, 21525301 + ... + 21664321.

It is an arithmetic number, because the mean of its divisors is an integer number (119514432960).

Almost surely, 2^{3002132220031} is an apocalyptic number.

3002132220031 is a deficient number, since it is larger than the sum of its proper divisors (822329634689).

3002132220031 is a wasteful number, since it uses less digits than its factorization.

3002132220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148615.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 3002132220031 its reverse (1300222312003), we get a palindrome (4302354532034).

The spelling of 3002132220031 in words is "three trillion, two billion, one hundred thirty-two million, two hundred twenty thousand, thirty-one".