113312210101040 has 320 divisors, whose sum is σ = 279239913216000. Its totient is φ = 42676513431552.

The previous prime is 113312210100977. The next prime is 113312210101061. The reversal of 113312210101040 is 40101012213311.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 33006759164 + ... + 33006762596.

It is an arithmetic number, because the mean of its divisors is an integer number (872624728800).

Almost surely, 2^{113312210101040} is an apocalyptic number.

113312210101040 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 113312210101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139619956608000).

113312210101040 is an abundant number, since it is smaller than the sum of its proper divisors (165927703114960).

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

113312210101040 is a wasteful number, since it uses less digits than its factorization.

113312210101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 113312210101040 its reverse (40101012213311), we get a palindrome (153413222314351).

The spelling of 113312210101040 in words is "one hundred thirteen trillion, three hundred twelve billion, two hundred ten million, one hundred one thousand, forty".