1327763531031 has 24 divisors (see below), whose sum is σ = 2075604019200. Its totient is φ = 752747818032.

The previous prime is 1327763530999. The next prime is 1327763531051. The reversal of 1327763531031 is 1301353677231.

It is not a de Polignac number, because 1327763531031 - 2⁵ = 1327763530999 is a prime.

It is a super-2 number, since 2×1327763531031² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327763531051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35541981 + ... + 35579318.

It is an arithmetic number, because the mean of its divisors is an integer number (86483500800).

Almost surely, 2^{1327763531031} is an apocalyptic number.

1327763531031 is a deficient number, since it is larger than the sum of its proper divisors (747840488169).

1327763531031 is a wasteful number, since it uses less digits than its factorization.

1327763531031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71121443 (or 71121436 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

The spelling of 1327763531031 in words is "one trillion, three hundred twenty-seven billion, seven hundred sixty-three million, five hundred thirty-one thousand, thirty-one".