111311131010329 has 32 divisors (see below), whose sum is σ = 117989199820800. Its totient is φ = 104717972620800.

The previous prime is 111311131010243. The next prime is 111311131010333. The reversal of 111311131010329 is 923010131113111.

It is a de Polignac number, because none of the positive numbers 2^k-111311131010329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111311131010297 and 111311131010306.

It is not an unprimeable number, because it can be changed into a prime (111311131016329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2728126729 + ... + 2728167529.

It is an arithmetic number, because the mean of its divisors is an integer number (3687162494400).

Almost surely, 2^{111311131010329} is an apocalyptic number.

111311131010329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

111311131010329 is a deficient number, since it is larger than the sum of its proper divisors (6678068810471).

111311131010329 is a wasteful number, since it uses less digits than its factorization.

111311131010329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42805.

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 111311131010329 in words is "one hundred eleven trillion, three hundred eleven billion, one hundred thirty-one million, ten thousand, three hundred twenty-nine".