33400104304131 has 16 divisors (see below), whose sum is σ = 49481865676320. Its totient is φ = 22266632851200.

The previous prime is 33400104304111. The next prime is 33400104304153. The reversal of 33400104304131 is 13140340100433.

33400104304131 is a `hidden beast` number, since 3 + 340 + 0 + 1 + 0 + 4 + 304 + 13 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-33400104304131 is a prime.

It is a super-2 number, since 2×33400104304131² (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 = 33400104304095 and 33400104304104.

It is not an unprimeable number, because it can be changed into a prime (33400104304111) 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, 3294651 + ... + 8812203.

It is an arithmetic number, because the mean of its divisors is an integer number (3092616604770).

Almost surely, 2^{33400104304131} is an apocalyptic number.

33400104304131 is a deficient number, since it is larger than the sum of its proper divisors (16081761372189).

33400104304131 is a wasteful number, since it uses less digits than its factorization.

33400104304131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741763 (or 5741757 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33400104304131 its reverse (13140340100433), we get a palindrome (46540444404564).

The spelling of 33400104304131 in words is "thirty-three trillion, four hundred billion, one hundred four million, three hundred four thousand, one hundred thirty-one".