31010201013 has 32 divisors (see below), whose sum is σ = 45896400000. Its totient is φ = 18621377280.

The previous prime is 31010200981. The next prime is 31010201029.

31010201013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31010201013 - 2⁵ = 31010200981 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31010201013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31010201063) 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, 399613 + ... + 470861.

It is an arithmetic number, because the mean of its divisors is an integer number (1434262500).

Almost surely, 2^31010201013 is an apocalyptic number.

31010201013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31010201013 is a deficient number, since it is larger than the sum of its proper divisors (14886198987).

31010201013 is a wasteful number, since it uses less digits than its factorization.

31010201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71394 (or 71372 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The spelling of 31010201013 in words is "thirty-one billion, ten million, two hundred one thousand, thirteen".