2310013201200 has 240 divisors, whose sum is σ = 7516297069056. Its totient is φ = 606329292800.

The previous prime is 2310013201159. The next prime is 2310013201217. The reversal of 2310013201200 is 21023100132.

It is a tau number, because it is divible by the number of its divisors (240).

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 2310013201200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52546429 + ... + 52590371.

Almost surely, 2^{2310013201200} is an apocalyptic number.

2310013201200 is a gapful number since it is divisible by the number (20) 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 2310013201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758148534528).

2310013201200 is an abundant number, since it is smaller than the sum of its proper divisors (5206283867856).

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

2310013201200 is a wasteful number, since it uses less digits than its factorization.

2310013201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44652 (or 44641 counting only the distinct ones).

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

Adding to 2310013201200 its reverse (21023100132), we get a palindrome (2331036301332).

The spelling of 2310013201200 in words is "two trillion, three hundred ten billion, thirteen million, two hundred one thousand, two hundred".