130113011223121 has 2 divisors, whose sum is σ = 130113011223122. Its totient is φ = 130113011223120.

The previous prime is 130113011223101. The next prime is 130113011223127. The reversal of 130113011223121 is 121322110311031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115278874240000 + 14834136983121 = 10736800^2 + 3851511^2 .

It is a cyclic number.

It is not a de Polignac number, because 130113011223121 - 2²⁵ = 130112977668689 is a prime.

It is a super-2 number, since 2×130113011223121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130113011223092 and 130113011223101.

It is not a weakly prime, because it can be changed into another prime (130113011223127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65056505611560 + 65056505611561.

It is an arithmetic number, because the mean of its divisors is an integer number (65056505611561).

Almost surely, 2^{130113011223121} is an apocalyptic number.

It is an amenable number.

130113011223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

130113011223121 is an equidigital number, since it uses as much as digits as its factorization.

130113011223121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 130113011223121 its reverse (121322110311031), we get a palindrome (251435121534152).

The spelling of 130113011223121 in words is "one hundred thirty trillion, one hundred thirteen billion, eleven million, two hundred twenty-three thousand, one hundred twenty-one".