2301213301313 has 16 divisors (see below), whose sum is σ = 2434509045120. Its totient is φ = 2170696454784.

The previous prime is 2301213301307. The next prime is 2301213301327. The reversal of 2301213301313 is 3131033121032.

It is a cyclic number.

It is not a de Polignac number, because 2301213301313 - 2¹⁰ = 2301213300289 is a prime.

It is a super-2 number, since 2×2301213301313² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2301213301213) 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, 12066383 + ... + 12255611.

It is an arithmetic number, because the mean of its divisors is an integer number (152156815320).

Almost surely, 2^{2301213301313} is an apocalyptic number.

2301213301313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2301213301313 is a deficient number, since it is larger than the sum of its proper divisors (133295743807).

2301213301313 is a wasteful number, since it uses less digits than its factorization.

2301213301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196568.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2301213301313 its reverse (3131033121032), we get a palindrome (5432246422345).

The spelling of 2301213301313 in words is "two trillion, three hundred one billion, two hundred thirteen million, three hundred one thousand, three hundred thirteen".