10000340413002 has 12 divisors (see below), whose sum is σ = 21667404228210. Its totient is φ = 3333446804328.

The previous prime is 10000340412983. The next prime is 10000340413027. The reversal of 10000340413002 is 20031404300001.

It can be written as a sum of positive squares in only one way, i.e., 9548341021521 + 451999391481 = 3090039^2 + 672309^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 555574467389 = 10000340413002 / (1 + 0 + 0 + 0 + 0 + 3 + 4 + 0 + 4 + 1 + 3 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277787233677 + ... + 277787233712.

Almost surely, 2^{10000340413002} is an apocalyptic number.

10000340413002 is an abundant number, since it is smaller than the sum of its proper divisors (11667063815208).

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

10000340413002 is a wasteful number, since it uses less digits than its factorization.

10000340413002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555574467397 (or 555574467394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10000340413002 its reverse (20031404300001), we get a palindrome (30031744713003).

The spelling of 10000340413002 in words is "ten trillion, three hundred forty million, four hundred thirteen thousand, two".