31001132013 has 16 divisors (see below), whose sum is σ = 43895417280. Its totient is φ = 19406386944.

The previous prime is 31001132009. The next prime is 31001132069. The reversal of 31001132013 is 31023110013.

It is not a de Polignac number, because 31001132013 - 2² = 31001132009 is a prime.

It is a super-2 number, since 2×31001132013² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31001131983 and 31001132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001132083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400106 + ... + 2412987.

It is an arithmetic number, because the mean of its divisors is an integer number (2743463580).

Almost surely, 2^31001132013 is an apocalyptic number.

It is an amenable number.

31001132013 is a deficient number, since it is larger than the sum of its proper divisors (12894285267).

31001132013 is a wasteful number, since it uses less digits than its factorization.

31001132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813228.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31001132013 its reverse (31023110013), we get a palindrome (62024242026).

The spelling of 31001132013 in words is "thirty-one billion, one million, one hundred thirty-two thousand, thirteen".