3131313101 has 24 divisors (see below), whose sum is σ = 3735559296. Its totient is φ = 2615928000.

The previous prime is 3131313041. The next prime is 3131313109. The reversal of 3131313101 is 1013131313.

3131313101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-3131313101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3131313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131313109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575345 + ... + 580761.

It is an arithmetic number, because the mean of its divisors is an integer number (155648304).

Almost surely, 2^3131313101 is an apocalyptic number.

It is an amenable number.

3131313101 is a deficient number, since it is larger than the sum of its proper divisors (604246195).

3131313101 is a wasteful number, since it uses less digits than its factorization.

3131313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 3131313101 is about 55958.1370401124. The cubic root of 3131313101 is about 1462.9927199107.

Adding to 3131313101 its reverse (1013131313), we get a palindrome (4144444414).

It can be divided in two parts, 3131313 and 101, that multiplied together give a palindrome (316262613).

The spelling of 3131313101 in words is "three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred one".