3130213200 has 120 divisors (see below), whose sum is σ = 10177036128. Its totient is φ = 822243840.

The previous prime is 3130213187. The next prime is 3130213201. The reversal of 3130213200 is 23120313.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×3130213200³ (a number of 29 digits) contains 333 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 3130213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130213201) 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, 60934 + ... + 99866.

Almost surely, 2^3130213200 is an apocalyptic number.

3130213200 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 3130213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088518064).

3130213200 is an abundant number, since it is smaller than the sum of its proper divisors (7046822928).

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

3130213200 is a wasteful number, since it uses less digits than its factorization.

3130213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39021 (or 39010 counting only the distinct ones).

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

The square root of 3130213200 is about 55948.3082854165. The cubic root of 3130213200 is about 1462.8214035385.

Adding to 3130213200 its reverse (23120313), we get a palindrome (3153333513).

The spelling of 3130213200 in words is "three billion, one hundred thirty million, two hundred thirteen thousand, two hundred".