34412431022013 has 32 divisors (see below), whose sum is σ = 52408987545600. Its totient is φ = 19881149119040.

The previous prime is 34412431021987. The next prime is 34412431022029. The reversal of 34412431022013 is 31022013421443.

It is not a de Polignac number, because 34412431022013 - 2¹⁴ = 34412431005629 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412431022083) 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, 77148213 + ... + 77592986.

It is an arithmetic number, because the mean of its divisors is an integer number (1637780860800).

Almost surely, 2^{34412431022013} is an apocalyptic number.

34412431022013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34412431022013 is a deficient number, since it is larger than the sum of its proper divisors (17996556523587).

34412431022013 is a wasteful number, since it uses less digits than its factorization.

34412431022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154741529.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34412431022013 its reverse (31022013421443), we get a palindrome (65434444443456).

The spelling of 34412431022013 in words is "thirty-four trillion, four hundred twelve billion, four hundred thirty-one million, twenty-two thousand, thirteen".