3131313100 has 144 divisors (see below), whose sum is σ = 7233037056. Its totient is φ = 1175040000.

The previous prime is 3131313041. The next prime is 3131313109. The reversal of 3131313100 is 13131313.

It is a super-2 number, since 2×3131313100² = 19610243460463220000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 22856232 + ... + 22856368.

It is an arithmetic number, because the mean of its divisors is an integer number (50229424).

Almost surely, 2^3131313100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616518528).

3131313100 is an abundant number, since it is smaller than the sum of its proper divisors (4101723956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3131313100 is a wasteful number, since it uses less digits than its factorization.

3131313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3131313100 is about 55958.1370311772. The cubic root of 3131313100 is about 1462.9927197549.

Adding to 3131313100 its reverse (13131313), we get a palindrome (3144444413).

It can be divided in two parts, 3131 and 313100, that multiplied together give a square (980316100 = 31310²).

The spelling of 3131313100 in words is "three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred".