2013312210 has 384 divisors, whose sum is σ = 6557220864. Its totient is φ = 385781760.

The previous prime is 2013312173. The next prime is 2013312229. The reversal of 2013312210 is 122133102.

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 2013312210.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28356475 + ... + 28356545.

It is an arithmetic number, because the mean of its divisors is an integer number (17076096).

Almost surely, 2^2013312210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278610432).

2013312210 is an abundant number, since it is smaller than the sum of its proper divisors (4543908654).

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

2013312210 is a wasteful number, since it uses less digits than its factorization.

2013312210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013312210 is about 44869.9477378791. The cubic root of 2013312210 is about 1262.7102595273.

Adding to 2013312210 its reverse (122133102), we get a palindrome (2135445312).

The spelling of 2013312210 in words is "two billion, thirteen million, three hundred twelve thousand, two hundred ten".