90358133313 has 64 divisors (see below), whose sum is σ = 148490496000. Its totient is φ = 48718152000.

The previous prime is 90358133279. The next prime is 90358133323. The reversal of 90358133313 is 31333185309.

It is not a de Polignac number, because 90358133313 - 2¹⁴ = 90358116929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90358133323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4898095 + ... + 4916507.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164000).

Almost surely, 2^90358133313 is an apocalyptic number.

It is an amenable number.

90358133313 is a deficient number, since it is larger than the sum of its proper divisors (58132362687).

90358133313 is a wasteful number, since it uses less digits than its factorization.

90358133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18707 (or 18693 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 90358133313 in words is "ninety billion, three hundred fifty-eight million, one hundred thirty-three thousand, three hundred thirteen".