31130013331001 has 16 divisors (see below), whose sum is σ = 33553254068880. Its totient is φ = 28710865290240.

The previous prime is 31130013330967. The next prime is 31130013331007. The reversal of 31130013331001 is 10013331003113.

It can be written as a sum of positive squares in 8 ways, for example, as 891232290601 + 30238781040400 = 944051^2 + 5498980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31130013331001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31130013331007) 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, 238235981 + ... + 238366613.

It is an arithmetic number, because the mean of its divisors is an integer number (2097078379305).

Almost surely, 2^{31130013331001} is an apocalyptic number.

It is an amenable number.

31130013331001 is a deficient number, since it is larger than the sum of its proper divisors (2423240737879).

31130013331001 is a wasteful number, since it uses less digits than its factorization.

31130013331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146156.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 31130013331001 its reverse (10013331003113), we get a palindrome (41143344334114).

The spelling of 31130013331001 in words is "thirty-one trillion, one hundred thirty billion, thirteen million, three hundred thirty-one thousand, one".