3133004100 has 72 divisors (see below), whose sum is σ = 9145143840. Its totient is φ = 828065280.

The previous prime is 3133004059. The next prime is 3133004101. The reversal of 3133004100 is 14003313.

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 3133004100.

It is not an unprimeable number, because it can be changed into a prime (3133004101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12310 + ... + 80109.

Almost surely, 2^3133004100 is an apocalyptic number.

3133004100 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 3133004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572571920).

3133004100 is an abundant number, since it is smaller than the sum of its proper divisors (6012139740).

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

3133004100 is a wasteful number, since it uses less digits than its factorization.

3133004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92549 (or 92542 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3133004100 is about 55973.2445012794. The cubic root of 3133004100 is about 1463.2560252133.

Adding to 3133004100 its reverse (14003313), we get a palindrome (3147007413).

The spelling of 3133004100 in words is "three billion, one hundred thirty-three million, four thousand, one hundred".