2013102202320 has 240 divisors, whose sum is σ = 7613187439104. Its totient is φ = 472281984000.

The previous prime is 2013102202303. The next prime is 2013102202327. The reversal of 2013102202320 is 232022013102.

2013102202320 is a `hidden beast` number, since 201 + 3 + 10 + 220 + 232 + 0 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013102202293 and 2013102202302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013102202327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3854151 + ... + 4345190.

Almost surely, 2^{2013102202320} is an apocalyptic number.

2013102202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013102202320 is an abundant number, since it is smaller than the sum of its proper divisors (5600085236784).

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

2013102202320 is a wasteful number, since it uses less digits than its factorization.

2013102202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8199402 (or 8199393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2013102202320 its reverse (232022013102), we get a palindrome (2245124215422).

The spelling of 2013102202320 in words is "two trillion, thirteen billion, one hundred two million, two hundred two thousand, three hundred twenty".