31000022000013 has 32 divisors (see below), whose sum is σ = 45472771008000. Its totient is φ = 18629397835200.

The previous prime is 31000021999981. The next prime is 31000022000029.

It is a happy number.

31000022000013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31000022000013 - 2⁵ = 31000021999981 is a prime.

It is a super-2 number, since 2×31000022000013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000022000053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5457103 + ... + 9580188.

It is an arithmetic number, because the mean of its divisors is an integer number (1421024094000).

Almost surely, 2^{31000022000013} is an apocalyptic number.

31000022000013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31000022000013 is a deficient number, since it is larger than the sum of its proper divisors (14472749007987).

31000022000013 is a wasteful number, since it uses less digits than its factorization.

31000022000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15037833.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 3100002 and 2000013, that added together give a palindrome (5100015).

The spelling of 31000022000013 in words is "thirty-one trillion, twenty-two million, thirteen", and thus it is an aban number and an uban number.