113169082001040 has 320 divisors, whose sum is σ = 420424737761280. Its totient is φ = 27814856509440.

The previous prime is 113169082001021. The next prime is 113169082001069. The reversal of 113169082001040 is 40100280961311.

113169082001040 is a `hidden beast` number, since 1 + 1 + 316 + 90 + 8 + 200 + 10 + 40 = 666.

It is a super-2 number, since 2×113169082001040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113169082000986 and 113169082001004.

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, 15512289 + ... + 21609471.

It is an arithmetic number, because the mean of its divisors is an integer number (1313827305504).

Almost surely, 2^{113169082001040} is an apocalyptic number.

113169082001040 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 113169082001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210212368880640).

113169082001040 is an abundant number, since it is smaller than the sum of its proper divisors (307255655760240).

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

113169082001040 is a wasteful number, since it uses less digits than its factorization.

113169082001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097879 (or 6097867 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 113169082001040 in words is "one hundred thirteen trillion, one hundred sixty-nine billion, eighty-two million, one thousand, forty".