10414021313000 has 64 divisors (see below), whose sum is σ = 25802269318800. Its totient is φ = 3920572723200.

The previous prime is 10414021312999. The next prime is 10414021313039. The reversal of 10414021313000 is 31312041401.

It can be written as a sum of positive squares in 8 ways, for example, as 592428853636 + 9821592459364 = 769694^2 + 3133942^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306277745 + ... + 306311744.

Almost surely, 2^{10414021313000} is an apocalyptic number.

10414021313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414021313000 is an abundant number, since it is smaller than the sum of its proper divisors (15388248005800).

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

10414021313000 is a wasteful number, since it uses less digits than its factorization.

10414021313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612589527 (or 612589513 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10414021313000 its reverse (31312041401), we get a palindrome (10445333354401).

The spelling of 10414021313000 in words is "ten trillion, four hundred fourteen billion, twenty-one million, three hundred thirteen thousand".