902332211211313 has 8 divisors (see below), whose sum is σ = 917146273334760. Its totient is φ = 887518850081280.

The previous prime is 902332211211283. The next prime is 902332211211367. The reversal of 902332211211313 is 313112112233209.

902332211211313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 684337599009 + 901647873612304 = 827247^2 + 30027452^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 902332211211313 - 2¹³ = 902332211203121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (902332211211383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172652470 + ... + 177801967.

It is an arithmetic number, because the mean of its divisors is an integer number (114643284166845).

Almost surely, 2^{902332211211313} is an apocalyptic number.

It is an amenable number.

902332211211313 is a deficient number, since it is larger than the sum of its proper divisors (14814062123447).

902332211211313 is a wasteful number, since it uses less digits than its factorization.

902332211211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350496707.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 902332211211313 in words is "nine hundred two trillion, three hundred thirty-two billion, two hundred eleven million, two hundred eleven thousand, three hundred thirteen".