981302311311201 has 48 divisors (see below), whose sum is σ = 1658860055012160. Its totient is φ = 574220788182720.

The previous prime is 981302311311191. The next prime is 981302311311221. The reversal of 981302311311201 is 102113113203189.

981302311311201 is a `hidden beast` number, since 9 + 8 + 1 + 3 + 0 + 2 + 311 + 311 + 20 + 1 = 666.

It is not a de Polignac number, because 981302311311201 - 2⁵ = 981302311311169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (981302311311221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6329516710 + ... + 6329671743.

It is an arithmetic number, because the mean of its divisors is an integer number (34559584479420).

Almost surely, 2^{981302311311201} is an apocalyptic number.

It is an amenable number.

981302311311201 is a deficient number, since it is larger than the sum of its proper divisors (677557743700959).

981302311311201 is a wasteful number, since it uses less digits than its factorization.

981302311311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12659188508 (or 12659188496 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 981302311311201 in words is "nine hundred eighty-one trillion, three hundred two billion, three hundred eleven million, three hundred eleven thousand, two hundred one".