113321012640 has 384 divisors, whose sum is σ = 413053966080. Its totient is φ = 25809715200.

The previous prime is 113321012633. The next prime is 113321012653. The reversal of 113321012640 is 46210123311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113321012640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95952850 + ... + 95954030.

It is an arithmetic number, because the mean of its divisors is an integer number (1075661370).

Almost surely, 2^113321012640 is an apocalyptic number.

113321012640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113321012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206526983040).

113321012640 is an abundant number, since it is smaller than the sum of its proper divisors (299732953440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113321012640 is a wasteful number, since it uses less digits than its factorization.

113321012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 113321012640 its reverse (46210123311), we get a palindrome (159531135951).

The spelling of 113321012640 in words is "one hundred thirteen billion, three hundred twenty-one million, twelve thousand, six hundred forty".