20117033313156 has 144 divisors (see below), whose sum is σ = 54923668800000. Its totient is φ = 6171707126016.

The previous prime is 20117033313119. The next prime is 20117033313191. The reversal of 20117033313156 is 65131333071102.

20117033313156 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 7 + 0 + 3 + 331 + 315 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20117033313156.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133408970 + ... + 1133426718.

Almost surely, 2^{20117033313156} is an apocalyptic number.

20117033313156 is a gapful number since it is divisible by the number (26) 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 20117033313156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27461834400000).

20117033313156 is an abundant number, since it is smaller than the sum of its proper divisors (34806635486844).

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

20117033313156 is a wasteful number, since it uses less digits than its factorization.

20117033313156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24738 (or 24733 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Adding to 20117033313156 its reverse (65131333071102), we get a palindrome (85248366384258).

The spelling of 20117033313156 in words is "twenty trillion, one hundred seventeen billion, thirty-three million, three hundred thirteen thousand, one hundred fifty-six".