3133242133001 has 12 divisors (see below), whose sum is σ = 3248624892996. Its totient is φ = 3021820832160.

The previous prime is 3133242132983. The next prime is 3133242133079. The reversal of 3133242133001 is 1003312423313.

It can be written as a sum of positive squares in 2 ways, for example, as 2995319028601 + 137923104400 = 1730699^2 + 371380^2 .

It is not a de Polignac number, because 3133242133001 - 2²⁶ = 3133175024137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3133242033001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5282246 + ... + 5845391.

It is an arithmetic number, because the mean of its divisors is an integer number (270718741083).

Almost surely, 2^{3133242133001} is an apocalyptic number.

3133242133001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3133242133001 is a deficient number, since it is larger than the sum of its proper divisors (115382759995).

3133242133001 is a wasteful number, since it uses less digits than its factorization.

3133242133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11127992 (or 11127961 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 3133242133001 its reverse (1003312423313), we get a palindrome (4136554556314).

The spelling of 3133242133001 in words is "three trillion, one hundred thirty-three billion, two hundred forty-two million, one hundred thirty-three thousand, one".