13123022322033 has 48 divisors (see below), whose sum is σ = 21065569200000. Its totient is φ = 8070521614272.

The previous prime is 13123022321957. The next prime is 13123022322073. The reversal of 13123022322033 is 33022322032131.

13123022322033 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 302 + 2 + 322 + 0 + 33 = 666.

It is not a de Polignac number, because 13123022322033 - 2¹⁰ = 13123022321009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13123022321988 and 13123022322006.

It is not an unprimeable number, because it can be changed into a prime (13123022322073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6191343 + ... + 8036091.

It is an arithmetic number, because the mean of its divisors is an integer number (438866025000).

Almost surely, 2^{13123022322033} is an apocalyptic number.

13123022322033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13123022322033 is a deficient number, since it is larger than the sum of its proper divisors (7942546877967).

13123022322033 is a wasteful number, since it uses less digits than its factorization.

13123022322033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846343 (or 1846324 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13123022322033 its reverse (33022322032131), we get a palindrome (46145344354164).

The spelling of 13123022322033 in words is "thirteen trillion, one hundred twenty-three billion, twenty-two million, three hundred twenty-two thousand, thirty-three".