1312100133111 has 24 divisors (see below), whose sum is σ = 1941769773216. Its totient is φ = 853271746560.

The previous prime is 1312100133103. The next prime is 1312100133119. The reversal of 1312100133111 is 1113310012131.

1312100133111 is a `hidden beast` number, since 1 + 312 + 10 + 0 + 1 + 331 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (1312100133103) and next prime (1312100133119).

It is not a de Polignac number, because 1312100133111 - 2³ = 1312100133103 is a prime.

It is a super-3 number, since 3×1312100133111³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312100133119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2257111 + ... + 2778263.

It is an arithmetic number, because the mean of its divisors is an integer number (80907073884).

Almost surely, 2^{1312100133111} is an apocalyptic number.

1312100133111 is a deficient number, since it is larger than the sum of its proper divisors (629669640105).

1312100133111 is a wasteful number, since it uses less digits than its factorization.

1312100133111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528023 (or 528020 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1312100133111 its reverse (1113310012131), we get a palindrome (2425410145242).

The spelling of 1312100133111 in words is "one trillion, three hundred twelve billion, one hundred million, one hundred thirty-three thousand, one hundred eleven".