3133790100 has 216 divisors, whose sum is σ = 11719874880. Its totient is φ = 716264640.

The previous prime is 3133790087. The next prime is 3133790113. The reversal of 3133790100 is 10973313.

It is an interprime number because it is at equal distance from previous prime (3133790087) and next prime (3133790113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120457 + ... + 144143.

It is an arithmetic number, because the mean of its divisors is an integer number (54258680).

Almost surely, 2^3133790100 is an apocalyptic number.

3133790100 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 3133790100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859937440).

3133790100 is an abundant number, since it is smaller than the sum of its proper divisors (8586084780).

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

3133790100 is a wasteful number, since it uses less digits than its factorization.

3133790100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23724 (or 23704 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 3133790100 is about 55980.2652726834. The cubic root of 3133790100 is about 1463.3783809495.

The spelling of 3133790100 in words is "three billion, one hundred thirty-three million, seven hundred ninety thousand, one hundred".