13030003220031 has 64 divisors (see below), whose sum is σ = 22252495513600. Its totient is φ = 7381431203328.

The previous prime is 13030003219973. The next prime is 13030003220053. The reversal of 13030003220031 is 13002230003031.

13030003220031 is a `hidden beast` number, since 13 + 0 + 300 + 0 + 322 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 13030003220031 - 2¹⁰ = 13030003219007 is a prime.

It is a super-2 number, since 2×13030003220031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13030003219986 and 13030003220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030003220081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12526311 + ... + 13526583.

It is an arithmetic number, because the mean of its divisors is an integer number (347695242400).

Almost surely, 2^{13030003220031} is an apocalyptic number.

13030003220031 is a deficient number, since it is larger than the sum of its proper divisors (9222492293569).

13030003220031 is a wasteful number, since it uses less digits than its factorization.

13030003220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000885 (or 1000879 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13030003220031 its reverse (13002230003031), we get a palindrome (26032233223062).

The spelling of 13030003220031 in words is "thirteen trillion, thirty billion, three million, two hundred twenty thousand, thirty-one".