33120133312131 has 16 divisors (see below), whose sum is σ = 49066953323520. Its totient is φ = 22080048753960.

The previous prime is 33120133312127. The next prime is 33120133312141. The reversal of 33120133312131 is 13121333102133.

33120133312131 is a `hidden beast` number, since 3 + 3 + 1 + 201 + 333 + 121 + 3 + 1 = 666.

It is not a de Polignac number, because 33120133312131 - 2² = 33120133312127 is a prime.

It is a super-2 number, since 2×33120133312131² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33120133312095 and 33120133312104.

It is not an unprimeable number, because it can be changed into a prime (33120133312121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26124586 + ... + 27363008.

It is an arithmetic number, because the mean of its divisors is an integer number (3066684582720).

Almost surely, 2^{33120133312131} is an apocalyptic number.

33120133312131 is a deficient number, since it is larger than the sum of its proper divisors (15946820011389).

33120133312131 is a wasteful number, since it uses less digits than its factorization.

33120133312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228943 (or 2228937 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 33120133312131 its reverse (13121333102133), we get a palindrome (46241466414264).

The spelling of 33120133312131 in words is "thirty-three trillion, one hundred twenty billion, one hundred thirty-three million, three hundred twelve thousand, one hundred thirty-one".