31024644642013 has 64 divisors (see below), whose sum is σ = 37484892910080. Its totient is φ = 25329401856000.

The previous prime is 31024644641957. The next prime is 31024644642023.

31024644642013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31024644642013 - 2¹⁷ = 31024644510941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31024644642023) 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, 3231392413 + ... + 3231402013.

It is an arithmetic number, because the mean of its divisors is an integer number (585701451720).

Almost surely, 2^{31024644642013} is an apocalyptic number.

It is an amenable number.

31024644642013 is a deficient number, since it is larger than the sum of its proper divisors (6460248268067).

31024644642013 is a wasteful number, since it uses less digits than its factorization.

31024644642013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11398.

The product of its (nonzero) digits is 331776, while the sum is 40.

It can be divided in two parts, 3102464 and 4642013, that added together give a palindrome (7744477).

The spelling of 31024644642013 in words is "thirty-one trillion, twenty-four billion, six hundred forty-four million, six hundred forty-two thousand, thirteen".