981056721331 has 16 divisors (see below), whose sum is σ = 1002094932256. Its totient is φ = 960180480000.

The previous prime is 981056721319. The next prime is 981056721343. The reversal of 981056721331 is 133127650189.

It is a happy number.

981056721331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (981056721319) and next prime (981056721343).

It is a 11-Lehmer number, since φ(981056721331) divides (981056721331-1)¹¹.

It is a cyclic number.

It is not a de Polignac number, because 981056721331 - 2⁵ = 981056721299 is a prime.

It is a super-2 number, since 2×981056721331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (981056721131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111213901 + ... + 111222721.

It is an arithmetic number, because the mean of its divisors is an integer number (62630933266).

Almost surely, 2^981056721331 is an apocalyptic number.

981056721331 is the 626437-th centered pentagonal number.

981056721331 is a deficient number, since it is larger than the sum of its proper divisors (21038210925).

981056721331 is a wasteful number, since it uses less digits than its factorization.

981056721331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17734.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 981056721331 in words is "nine hundred eighty-one billion, fifty-six million, seven hundred twenty-one thousand, three hundred thirty-one".