31131563101 has 32 divisors (see below), whose sum is σ = 33381089280. Its totient is φ = 28985299200.

The previous prime is 31131563093. The next prime is 31131563189. The reversal of 31131563101 is 10136513113.

It is a cyclic number.

It is not a de Polignac number, because 31131563101 - 2³ = 31131563093 is a prime.

It is a super-2 number, since 2×31131563101² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131563201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35336181 + ... + 35337061.

It is an arithmetic number, because the mean of its divisors is an integer number (1043159040).

Almost surely, 2^31131563101 is an apocalyptic number.

31131563101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31131563101 is a deficient number, since it is larger than the sum of its proper divisors (2249526179).

31131563101 is a wasteful number, since it uses less digits than its factorization.

31131563101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345.

The product of its (nonzero) digits is 810, while the sum is 25.

The spelling of 31131563101 in words is "thirty-one billion, one hundred thirty-one million, five hundred sixty-three thousand, one hundred one".