33130112101020 has 288 divisors, whose sum is σ = 117292402805760. Its totient is φ = 7484094144000.

The previous prime is 33130112101007. The next prime is 33130112101067. The reversal of 33130112101020 is 2010121103133.

33130112101020 is a `hidden beast` number, since 331 + 301 + 1 + 2 + 1 + 0 + 10 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33130112100984 and 33130112101002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4923636 + ... + 9513275.

It is an arithmetic number, because the mean of its divisors is an integer number (407265287520).

Almost surely, 2^{33130112101020} is an apocalyptic number.

33130112101020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33130112101020 is an abundant number, since it is smaller than the sum of its proper divisors (84162290704740).

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

33130112101020 is a wasteful number, since it uses less digits than its factorization.

33130112101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14437017 (or 14437012 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 33130112101020 its reverse (2010121103133), we get a palindrome (35140233204153).

The spelling of 33130112101020 in words is "thirty-three trillion, one hundred thirty billion, one hundred twelve million, one hundred one thousand, twenty".