3133013000 has 128 divisors (see below), whose sum is σ = 7928051040. Its totient is φ = 1152000000.

The previous prime is 3133012973. The next prime is 3133013003. The reversal of 3133013000 is 3103313.

It can be written as a sum of positive squares in 16 ways, for example, as 46321636 + 3086691364 = 6806^2 + 55558^2 .

It is not an unprimeable number, because it can be changed into a prime (3133013003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5212700 + ... + 5213300.

Almost surely, 2^3133013000 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 3133013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964025520).

3133013000 is an abundant number, since it is smaller than the sum of its proper divisors (4795038040).

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

3133013000 is a wasteful number, since it uses less digits than its factorization.

3133013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 3133013000 is about 55973.3240034929. The cubic root of 3133013000 is about 1463.2574107808.

Adding to 3133013000 its reverse (3103313), we get a palindrome (3136116313).

The spelling of 3133013000 in words is "three billion, one hundred thirty-three million, thirteen thousand".