3121313100 has 144 divisors (see below), whose sum is σ = 9290967840. Its totient is φ = 808704000.

The previous prime is 3121313093. The next prime is 3121313131. The reversal of 3121313100 is 13131213.

3121313100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3121313100² = 19485190936463220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3121313100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1732200 + ... + 1734000.

It is an arithmetic number, because the mean of its divisors is an integer number (64520610).

Almost surely, 2^3121313100 is an apocalyptic number.

3121313100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645483920).

3121313100 is an abundant number, since it is smaller than the sum of its proper divisors (6169654740).

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

3121313100 is a wasteful number, since it uses less digits than its factorization.

3121313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3121313100 is about 55868.7130691230. The cubic root of 3121313100 is about 1461.4336795894.

Adding to 3121313100 its reverse (13131213), we get a palindrome (3134444313).

The spelling of 3121313100 in words is "three billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred".