2013201022313 has 16 divisors (see below), whose sum is σ = 2262429501696. Its totient is φ = 1777460900160.

The previous prime is 2013201022277. The next prime is 2013201022373. The reversal of 2013201022313 is 3132201023102.

It is a cyclic number.

It is not a de Polignac number, because 2013201022313 - 2¹⁶ = 2013200956777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013201022373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6956756 + ... + 7240362.

It is an arithmetic number, because the mean of its divisors is an integer number (141401843856).

Almost surely, 2^{2013201022313} is an apocalyptic number.

2013201022313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2013201022313 is a deficient number, since it is larger than the sum of its proper divisors (249228479383).

2013201022313 is a wasteful number, since it uses less digits than its factorization.

2013201022313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307384.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2013201022313 its reverse (3132201023102), we get a palindrome (5145402045415).

The spelling of 2013201022313 in words is "two trillion, thirteen billion, two hundred one million, twenty-two thousand, three hundred thirteen".