34133233431213 has 48 divisors (see below), whose sum is σ = 57747941472000. Its totient is φ = 19419531032160.

The previous prime is 34133233431163. The next prime is 34133233431233. The reversal of 34133233431213 is 31213433233143.

34133233431213 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 3 + 2 + 3 + 3 + 431 + 213 = 666.

It is not a de Polignac number, because 34133233431213 - 2⁹ = 34133233430701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133233431233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23435193 + ... + 24849038.

It is an arithmetic number, because the mean of its divisors is an integer number (1203082114000).

Almost surely, 2^{34133233431213} is an apocalyptic number.

It is an amenable number.

34133233431213 is a deficient number, since it is larger than the sum of its proper divisors (23614708040787).

34133233431213 is a wasteful number, since it uses less digits than its factorization.

34133233431213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48284487 (or 48284470 counting only the distinct ones).

The product of its digits is 139968, while the sum is 36.

Adding to 34133233431213 its reverse (31213433233143), we get a palindrome (65346666664356).

The spelling of 34133233431213 in words is "thirty-four trillion, one hundred thirty-three billion, two hundred thirty-three million, four hundred thirty-one thousand, two hundred thirteen".