34121155433013 has 128 divisors (see below), whose sum is σ = 57634298265600. Its totient is φ = 19764268920000.

The previous prime is 34121155433011. The next prime is 34121155433129. The reversal of 34121155433013 is 31033455112143.

34121155433013 is a `hidden beast` number, since 3 + 4 + 1 + 211 + 5 + 5 + 433 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 34121155433013 - 2¹ = 34121155433011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121155433011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244366848 + ... + 244506438.

It is an arithmetic number, because the mean of its divisors is an integer number (450267955200).

Almost surely, 2^{34121155433013} is an apocalyptic number.

34121155433013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34121155433013 is a deficient number, since it is larger than the sum of its proper divisors (23513142832587).

34121155433013 is a wasteful number, since it uses less digits than its factorization.

34121155433013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139972 (or 139966 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 34121155433013 in words is "thirty-four trillion, one hundred twenty-one billion, one hundred fifty-five million, four hundred thirty-three thousand, thirteen".