1331112093311 has 72 divisors (see below), whose sum is σ = 1815775073280. Its totient is φ = 954739431360.

The previous prime is 1331112093281. The next prime is 1331112093317. The reversal of 1331112093311 is 1133902111331.

It is not a de Polignac number, because 1331112093311 - 2²² = 1331107899007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331112093317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51375386 + ... + 51401288.

It is an arithmetic number, because the mean of its divisors is an integer number (25219098240).

Almost surely, 2^{1331112093311} is an apocalyptic number.

1331112093311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331112093311 is a deficient number, since it is larger than the sum of its proper divisors (484662979969).

1331112093311 is a wasteful number, since it uses less digits than its factorization.

1331112093311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26317 (or 26293 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The spelling of 1331112093311 in words is "one trillion, three hundred thirty-one billion, one hundred twelve million, ninety-three thousand, three hundred eleven".