3133120105311 has 24 divisors (see below), whose sum is σ = 4859684910000. Its totient is φ = 1790298461952.

The previous prime is 3133120105273. The next prime is 3133120105327. The reversal of 3133120105311 is 1135010213313.

It is a happy number.

It is not a de Polignac number, because 3133120105311 - 2⁹ = 3133120104799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133120104311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4645335 + ... + 5276871.

It is an arithmetic number, because the mean of its divisors is an integer number (202486871250).

Almost surely, 2^{3133120105311} is an apocalyptic number.

3133120105311 is a deficient number, since it is larger than the sum of its proper divisors (1726564804689).

3133120105311 is a wasteful number, since it uses less digits than its factorization.

3133120105311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665303 (or 665296 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

Adding to 3133120105311 its reverse (1135010213313), we get a palindrome (4268130318624).

The spelling of 3133120105311 in words is "three trillion, one hundred thirty-three billion, one hundred twenty million, one hundred five thousand, three hundred eleven".