6133013000 has 32 divisors (see below), whose sum is σ = 14351252760. Its totient is φ = 2453204800.

The previous prime is 6133012943. The next prime is 6133013011. The reversal of 6133013000 is 3103316.

It can be written as a sum of positive squares in 4 ways, for example, as 259016836 + 5873996164 = 16094^2 + 76642^2 .

It is a super-2 number, since 2×6133013000² = 75227696916338000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6133013000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3065507 + ... + 3067506.

Almost surely, 2^6133013000 is an apocalyptic number.

It is an amenable number.

6133013000 is an abundant number, since it is smaller than the sum of its proper divisors (8218239760).

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

6133013000 is a wasteful number, since it uses less digits than its factorization.

6133013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133034 (or 6133020 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 6133013000 is about 78313.5556592854. Note that the first 3 decimals coincide. The cubic root of 6133013000 is about 1830.4503853284.

Adding to 6133013000 its reverse (3103316), we get a palindrome (6136116316).

The spelling of 6133013000 in words is "six billion, one hundred thirty-three million, thirteen thousand".