1312133101101 has 16 divisors (see below), whose sum is σ = 1944023685120. Its totient is φ = 874700143200.

The previous prime is 1312133101073. The next prime is 1312133101117. The reversal of 1312133101101 is 1011013312131.

1312133101101 is a `hidden beast` number, since 1 + 31 + 213 + 310 + 110 + 1 = 666.

It is not a de Polignac number, because 1312133101101 - 2⁷ = 1312133100973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312133101801) 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, 1097325 + ... + 1956626.

It is an arithmetic number, because the mean of its divisors is an integer number (121501480320).

Almost surely, 2^{1312133101101} is an apocalyptic number.

It is an amenable number.

1312133101101 is a deficient number, since it is larger than the sum of its proper divisors (631890584019).

1312133101101 is a wasteful number, since it uses less digits than its factorization.

1312133101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069873 (or 3069867 counting only the distinct ones).

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

Adding to 1312133101101 its reverse (1011013312131), we get a palindrome (2323146413232).

The spelling of 1312133101101 in words is "one trillion, three hundred twelve billion, one hundred thirty-three million, one hundred one thousand, one hundred one".