113012220321 has 192 divisors, whose sum is σ = 226372962816. Its totient is φ = 52428902400.

The previous prime is 113012220301. The next prime is 113012220337. The reversal of 113012220321 is 123022210311.

113012220321 is a `hidden beast` number, since 1 + 1 + 301 + 22 + 20 + 321 = 666.

It is not a de Polignac number, because 113012220321 - 2⁶ = 113012220257 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113012220294 and 113012220303.

It is not an unprimeable number, because it can be changed into a prime (113012220301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65665741 + ... + 65667461.

It is an arithmetic number, because the mean of its divisors is an integer number (1179025848).

Almost surely, 2^113012220321 is an apocalyptic number.

113012220321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113012220321 is an abundant number, since it is smaller than the sum of its proper divisors (113360742495).

113012220321 is a wasteful number, since it uses less digits than its factorization.

113012220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113012220321 its reverse (123022210311), we get a palindrome (236034430632).

It can be divided in two parts, 113012 and 220321, that added together give a palindrome (333333).

The spelling of 113012220321 in words is "one hundred thirteen billion, twelve million, two hundred twenty thousand, three hundred twenty-one".