113001022321 has 32 divisors (see below), whose sum is σ = 130083625728. Its totient is φ = 97156055040.

The previous prime is 113001022307. The next prime is 113001022369. The reversal of 113001022321 is 123220100311.

It is not a de Polignac number, because 113001022321 - 2¹³ = 113001014129 is a prime.

It is a super-2 number, since 2×113001022321² (a number of 23 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 = 113001022295 and 113001022304.

It is not an unprimeable number, because it can be changed into a prime (113001022301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42528225 + ... + 42530881.

It is an arithmetic number, because the mean of its divisors is an integer number (4065113304).

Almost surely, 2^113001022321 is an apocalyptic number.

113001022321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113001022321 is a deficient number, since it is larger than the sum of its proper divisors (17082603407).

113001022321 is a wasteful number, since it uses less digits than its factorization.

113001022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113001022321 its reverse (123220100311), we get a palindrome (236221122632).

The spelling of 113001022321 in words is "one hundred thirteen billion, one million, twenty-two thousand, three hundred twenty-one".