113321012321 has 32 divisors (see below), whose sum is σ = 126673013376. Its totient is φ = 100517760000.

The previous prime is 113321012303. The next prime is 113321012339. The reversal of 113321012321 is 123210123311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113321012303) and next prime (113321012339).

It is a cyclic number.

It is not a de Polignac number, because 113321012321 - 2¹⁴ = 113320995937 is a prime.

It is a super-3 number, since 3×113321012321³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113321012293 and 113321012302.

It is not an unprimeable number, because it can be changed into a prime (113321012221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22720790 + ... + 22725776.

It is an arithmetic number, because the mean of its divisors is an integer number (3958531668).

Almost surely, 2^113321012321 is an apocalyptic number.

113321012321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113321012321 is a deficient number, since it is larger than the sum of its proper divisors (13352001055).

113321012321 is a wasteful number, since it uses less digits than its factorization.

113321012321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113321012321 its reverse (123210123311), we get a palindrome (236531135632).

The spelling of 113321012321 in words is "one hundred thirteen billion, three hundred twenty-one million, twelve thousand, three hundred twenty-one".