23301013322013 has 48 divisors (see below), whose sum is σ = 36303491427840. Its totient is φ = 13021767421344.

The previous prime is 23301013321969. The next prime is 23301013322063. The reversal of 23301013322013 is 31022331010332.

It is not a de Polignac number, because 23301013322013 - 2²¹ = 23301011224861 is a prime.

It is a super-3 number, since 3×23301013322013³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301013322063) 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, 12214270 + ... + 13992512.

It is an arithmetic number, because the mean of its divisors is an integer number (756322738080).

Almost surely, 2^{23301013322013} is an apocalyptic number.

It is an amenable number.

23301013322013 is a deficient number, since it is larger than the sum of its proper divisors (13002478105827).

23301013322013 is a wasteful number, since it uses less digits than its factorization.

23301013322013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778526 (or 1778459 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23301013322013 its reverse (31022331010332), we get a palindrome (54323344332345).

The spelling of 23301013322013 in words is "twenty-three trillion, three hundred one billion, thirteen million, three hundred twenty-two thousand, thirteen".