34133411213010 has 96 divisors (see below), whose sum is σ = 89241880897728. Its totient is φ = 9051603603840.

The previous prime is 34133411212997. The next prime is 34133411213039. The reversal of 34133411213010 is 1031211433143.

34133411213010 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 341 + 12 + 1 + 301 + 0 = 666.

It is a super-2 number, since 2×34133411213010² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11141064 + ... + 13870476.

It is an arithmetic number, because the mean of its divisors is an integer number (929602926018).

Almost surely, 2^{34133411213010} is an apocalyptic number.

34133411213010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34133411213010 is an abundant number, since it is smaller than the sum of its proper divisors (55108469684718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34133411213010 is a wasteful number, since it uses less digits than its factorization.

34133411213010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730200 (or 2730197 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 34133411213010 its reverse (1031211433143), we get a palindrome (35164622646153).

The spelling of 34133411213010 in words is "thirty-four trillion, one hundred thirty-three billion, four hundred eleven million, two hundred thirteen thousand, ten".