131313012101033 has 24 divisors (see below), whose sum is σ = 154157337318600. Its totient is φ = 111518458345728.

The previous prime is 131313012101003. The next prime is 131313012101039. The reversal of 131313012101033 is 330101210313131.

It can be written as a sum of positive squares in 4 ways, for example, as 23236757484304 + 108076254616729 = 4820452^2 + 10395973^2 .

It is not a de Polignac number, because 131313012101033 - 2²⁶ = 131312944992169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131313012101039) 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, 215242133 + ... + 215851341.

It is an arithmetic number, because the mean of its divisors is an integer number (6423222388275).

Almost surely, 2^{131313012101033} is an apocalyptic number.

It is an amenable number.

131313012101033 is a deficient number, since it is larger than the sum of its proper divisors (22844325217567).

131313012101033 is a wasteful number, since it uses less digits than its factorization.

131313012101033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649689 (or 649682 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 131313012101033 its reverse (330101210313131), we get a palindrome (461414222414164).

The spelling of 131313012101033 in words is "one hundred thirty-one trillion, three hundred thirteen billion, twelve million, one hundred one thousand, thirty-three".