10204151363343 has 72 divisors (see below), whose sum is σ = 17220635318016. Its totient is φ = 5805524340000.

The previous prime is 10204151363309. The next prime is 10204151363383. The reversal of 10204151363343 is 34336315140201.

10204151363343 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 1 + 5 + 13 + 633 + 4 + 3 = 666.

It is not a de Polignac number, because 10204151363343 - 2²⁴ = 10204134586127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10204151363298 and 10204151363307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204151363303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109577680 + ... + 109670762.

It is an arithmetic number, because the mean of its divisors is an integer number (239175490528).

Almost surely, 2^{10204151363343} is an apocalyptic number.

10204151363343 is a deficient number, since it is larger than the sum of its proper divisors (7016483954673).

10204151363343 is a wasteful number, since it uses less digits than its factorization.

10204151363343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94185 (or 94175 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10204151363343 in words is "ten trillion, two hundred four billion, one hundred fifty-one million, three hundred sixty-three thousand, three hundred forty-three".