20131300417536 has 3360 divisors, whose sum is σ = 83524832899200. Its totient is φ = 4806876856320.

The previous prime is 20131300417523. The next prime is 20131300417549. The reversal of 20131300417536 is 63571400313102.

20131300417536 is a `hidden beast` number, since 20 + 1 + 31 + 30 + 0 + 41 + 7 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (20131300417523) and next prime (20131300417549).

It is a super-2 number, since 2×20131300417536² (a number of 27 digits) contains 22 as substring.

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 20131300417536.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 468169777131 + ... + 468169777173.

It is an arithmetic number, because the mean of its divisors is an integer number (24858581220).

Almost surely, 2^{20131300417536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131300417536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41762416449600).

20131300417536 is an abundant number, since it is smaller than the sum of its proper divisors (63393532481664).

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

20131300417536 is an equidigital number, since it uses as much as digits as its factorization.

20131300417536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20131300417536 in words is "twenty trillion, one hundred thirty-one billion, three hundred million, four hundred seventeen thousand, five hundred thirty-six".