3121312100 has 72 divisors (see below), whose sum is σ = 6918364488. Its totient is φ = 1222041600.

The previous prime is 3121312067. The next prime is 3121312123. The reversal of 3121312100 is 12131213.

It can be written as a sum of positive squares in 12 ways, for example, as 1720756324 + 1400555776 = 41482^2 + 37424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998540 + ... + 1001660.

Almost surely, 2^3121312100 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 3121312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459182244).

3121312100 is an abundant number, since it is smaller than the sum of its proper divisors (3797052388).

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

3121312100 is a wasteful number, since it uses less digits than its factorization.

3121312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 3121312100 is about 55868.7041195695. The cubic root of 3121312100 is about 1461.4335235190.

Adding to 3121312100 its reverse (12131213), we get a palindrome (3133443313).

It can be divided in two parts, 3121 and 312100, that multiplied together give a square (974064100 = 31210²).

The spelling of 3121312100 in words is "three billion, one hundred twenty-one million, three hundred twelve thousand, one hundred".