31130131300101 has 48 divisors (see below), whose sum is σ = 45831864199680. Its totient is φ = 20357530325280.

The previous prime is 31130131300069. The next prime is 31130131300157. The reversal of 31130131300101 is 10100313103113.

31130131300101 is a `hidden beast` number, since 3 + 1 + 130 + 131 + 300 + 101 = 666.

It is not a de Polignac number, because 31130131300101 - 2⁵ = 31130131300069 is a prime.

It is a super-2 number, since 2×31130131300101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130131370101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1501611906 + ... + 1501632636.

It is an arithmetic number, because the mean of its divisors is an integer number (954830504160).

Almost surely, 2^{31130131300101} is an apocalyptic number.

It is an amenable number.

31130131300101 is a deficient number, since it is larger than the sum of its proper divisors (14701732899579).

31130131300101 is a wasteful number, since it uses less digits than its factorization.

31130131300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36086 (or 36083 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31130131300101 its reverse (10100313103113), we get a palindrome (41230444403214).

The spelling of 31130131300101 in words is "thirty-one trillion, one hundred thirty billion, one hundred thirty-one million, three hundred thousand, one hundred one".