3133020132101 has 16 divisors (see below), whose sum is σ = 3279107286000. Its totient is φ = 2989623211008.

The previous prime is 3133020132089. The next prime is 3133020132127. The reversal of 3133020132101 is 1012310203313.

3133020132101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 83159563876 + 3049860568225 = 288374^2 + 1746385^2 .

It is not a de Polignac number, because 3133020132101 - 2²² = 3133015937797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133020132131) 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, 226046 + ... + 2513391.

It is an arithmetic number, because the mean of its divisors is an integer number (204944205375).

Almost surely, 2^{3133020132101} is an apocalyptic number.

It is an amenable number.

3133020132101 is a deficient number, since it is larger than the sum of its proper divisors (146087153899).

3133020132101 is a wasteful number, since it uses less digits than its factorization.

3133020132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739928.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3133020132101 its reverse (1012310203313), we get a palindrome (4145330335414).

The spelling of 3133020132101 in words is "three trillion, one hundred thirty-three billion, twenty million, one hundred thirty-two thousand, one hundred one".