1013312133101 has 8 divisors (see below), whose sum is σ = 1014077682240. Its totient is φ = 1012546858752.

The previous prime is 1013312133061. The next prime is 1013312133151.

1013312133101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013312133101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013312133151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7631840 + ... + 7763478.

It is an arithmetic number, because the mean of its divisors is an integer number (126759710280).

Almost surely, 2^{1013312133101} is an apocalyptic number.

It is an amenable number.

1013312133101 is a deficient number, since it is larger than the sum of its proper divisors (765549139).

1013312133101 is a wasteful number, since it uses less digits than its factorization.

1013312133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137395.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 1013312133101 in words is "one trillion, thirteen billion, three hundred twelve million, one hundred thirty-three thousand, one hundred one".