210100013312 has 144 divisors (see below), whose sum is σ = 483731993472. Its totient is φ = 89212354560.

The previous prime is 210100013261. The next prime is 210100013339. The reversal of 210100013312 is 213310001012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104474387 + ... + 104476397.

Almost surely, 2^210100013312 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 210100013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241865996736).

210100013312 is an abundant number, since it is smaller than the sum of its proper divisors (273631980160).

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

210100013312 is a wasteful number, since it uses less digits than its factorization.

210100013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 210100013312 its reverse (213310001012), we get a palindrome (423410014324).

The spelling of 210100013312 in words is "two hundred ten billion, one hundred million, thirteen thousand, three hundred twelve".