10000034401413 has 32 divisors (see below), whose sum is σ = 15288649277440. Its totient is φ = 5695369381440.

The previous prime is 10000034401391. The next prime is 10000034401507. The reversal of 10000034401413 is 31410443000001.

It is not a de Polignac number, because 10000034401413 - 2²¹ = 10000032304261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10000034401413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000034401613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157719948 + ... + 157783338.

It is an arithmetic number, because the mean of its divisors is an integer number (477770289920).

Almost surely, 2^{10000034401413} is an apocalyptic number.

It is an amenable number.

10000034401413 is a deficient number, since it is larger than the sum of its proper divisors (5288614876027).

10000034401413 is a wasteful number, since it uses less digits than its factorization.

10000034401413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88177.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10000034401413 its reverse (31410443000001), we get a palindrome (41410477401414).

The spelling of 10000034401413 in words is "ten trillion, thirty-four million, four hundred one thousand, four hundred thirteen".