320113323311023 has 48 divisors (see below), whose sum is σ = 356260690527840. Its totient is φ = 287381001600000.

The previous prime is 320113323310933. The next prime is 320113323311051.

It is a happy number.

320113323311023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320113323311023 - 2²⁵ = 320113289756591 is a prime.

It is a super-2 number, since 2×320113323311023² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320113323310982 and 320113323311000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320113323311423) 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, 32331408373 + ... + 32331418273.

It is an arithmetic number, because the mean of its divisors is an integer number (7422097719330).

Almost surely, 2^{320113323311023} is an apocalyptic number.

320113323311023 is a deficient number, since it is larger than the sum of its proper divisors (36147367216817).

320113323311023 is a wasteful number, since it uses less digits than its factorization.

320113323311023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13480 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 320113323311023 in words is "three hundred twenty trillion, one hundred thirteen billion, three hundred twenty-three million, three hundred eleven thousand, twenty-three".