20013633506130 has 256 divisors, whose sum is σ = 53286053990400. Its totient is φ = 4770477296640.

The previous prime is 20013633506129. The next prime is 20013633506177. The reversal of 20013633506130 is 3160533631002.

It is a happy number.

It is a super-2 number, since 2×20013633506130² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20013633506091 and 20013633506100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3652786731 + ... + 3652792209.

It is an arithmetic number, because the mean of its divisors is an integer number (208148648400).

Almost surely, 2^{20013633506130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013633506130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26643026995200).

20013633506130 is an abundant number, since it is smaller than the sum of its proper divisors (33272420484270).

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

20013633506130 is a wasteful number, since it uses less digits than its factorization.

20013633506130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369.

The product of its (nonzero) digits is 29160, while the sum is 33.

The spelling of 20013633506130 in words is "twenty trillion, thirteen billion, six hundred thirty-three million, five hundred six thousand, one hundred thirty".