33506414045313 has 32 divisors (see below), whose sum is σ = 49659102801792. Its totient is φ = 19922587776000.

The previous prime is 33506414045267. The next prime is 33506414045317. The reversal of 33506414045313 is 31354041460533.

It is not a de Polignac number, because 33506414045313 - 2²¹ = 33506411948161 is a prime.

It is a super-2 number, since 2×33506414045313² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33506414045317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29413663 + ... + 30531563.

It is an arithmetic number, because the mean of its divisors is an integer number (1551846962556).

Almost surely, 2^{33506414045313} is an apocalyptic number.

33506414045313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33506414045313 is a deficient number, since it is larger than the sum of its proper divisors (16152688756479).

33506414045313 is a wasteful number, since it uses less digits than its factorization.

33506414045313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135105.

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 33506414045313 in words is "thirty-three trillion, five hundred six billion, four hundred fourteen million, forty-five thousand, three hundred thirteen".