31020202013 has 16 divisors (see below), whose sum is σ = 32173953840. Its totient is φ = 29886912000.

The previous prime is 31020202007. The next prime is 31020202033.

It is a happy number.

31020202013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 5103387844 + 25916814169 = 71438^2 + 160987^2 .

It is a cyclic number.

It is not a de Polignac number, because 31020202013 - 2⁴ = 31020201997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020202033) 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 15 ways as a sum of consecutive naturals, for example, 1634543 + ... + 1653411.

It is an arithmetic number, because the mean of its divisors is an integer number (2010872115).

Almost surely, 2^31020202013 is an apocalyptic number.

It is an amenable number.

31020202013 is a deficient number, since it is larger than the sum of its proper divisors (1153751827).

31020202013 is a wasteful number, since it uses less digits than its factorization.

31020202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19408.

The product of its (nonzero) digits is 72, while the sum is 14.

The spelling of 31020202013 in words is "thirty-one billion, twenty million, two hundred two thousand, thirteen".