3137120100 has 81 divisors (see below), whose sum is σ = 9838398297. Its totient is φ = 836117280.

The previous prime is 3137120081. The next prime is 3137120117. The reversal of 3137120100 is 10217313.

The square root of 3137120100 is 56010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1129363236 + 2007756864 = 33606^2 + 44808^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1679367 + ... + 1681233.

Almost surely, 2^3137120100 is an apocalyptic number.

3137120100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3137120100 is the 56010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3137120100

3137120100 is an abundant number, since it is smaller than the sum of its proper divisors (6701278197).

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

3137120100 is a wasteful number, since it uses less digits than its factorization.

3137120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The cubic root of 3137120100 is about 1463.8965314764.

Adding to 3137120100 its reverse (10217313), we get a palindrome (3147337413).

The spelling of 3137120100 in words is "three billion, one hundred thirty-seven million, one hundred twenty thousand, one hundred".