10032355313145 has 96 divisors (see below), whose sum is σ = 19064034557568. Its totient is φ = 4840162560000.

The previous prime is 10032355313089. The next prime is 10032355313147. The reversal of 10032355313145 is 54131355323001.

10032355313145 is a `hidden beast` number, since 1 + 0 + 0 + 32 + 3 + 553 + 1 + 31 + 45 = 666.

It is not a de Polignac number, because 10032355313145 - 2⁶ = 10032355313081 is a prime.

It is a super-2 number, since 2×10032355313145² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10032355313147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153977275 + ... + 154042415.

It is an arithmetic number, because the mean of its divisors is an integer number (198583693308).

Almost surely, 2^{10032355313145} is an apocalyptic number.

10032355313145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10032355313145 is a deficient number, since it is larger than the sum of its proper divisors (9031679244423).

10032355313145 is a wasteful number, since it uses less digits than its factorization.

10032355313145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66695 (or 66692 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 10032355313145 in words is "ten trillion, thirty-two billion, three hundred fifty-five million, three hundred thirteen thousand, one hundred forty-five".