13010312032133 has 32 divisors (see below), whose sum is σ = 14128769088000. Its totient is φ = 11908955241216.

The previous prime is 13010312032073. The next prime is 13010312032153. The reversal of 13010312032133 is 33123021301031.

It is a cyclic number.

It is not a de Polignac number, because 13010312032133 - 2⁸ = 13010312031877 is a prime.

It is a super-3 number, since 3×13010312032133³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13010312032099 and 13010312032108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010312032153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4885583360 + ... + 4885586022.

It is an arithmetic number, because the mean of its divisors is an integer number (441524034000).

Almost surely, 2^{13010312032133} is an apocalyptic number.

13010312032133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13010312032133 is a deficient number, since it is larger than the sum of its proper divisors (1118457055867).

13010312032133 is a wasteful number, since it uses less digits than its factorization.

13010312032133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6101.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13010312032133 its reverse (33123021301031), we get a palindrome (46133333333164).

The spelling of 13010312032133 in words is "thirteen trillion, ten billion, three hundred twelve million, thirty-two thousand, one hundred thirty-three".