13130404301121 has 16 divisors (see below), whose sum is σ = 18270304634880. Its totient is φ = 8372133252560.

The previous prime is 13130404301117. The next prime is 13130404301237. The reversal of 13130404301121 is 12110340403131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13130404301121 - 2² = 13130404301117 is a prime.

It is a super-2 number, since 2×13130404301121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13130404301091 and 13130404301100.

It is not an unprimeable number, because it can be changed into a prime (13130404302121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9316425 + ... + 10632806.

It is an arithmetic number, because the mean of its divisors is an integer number (1141894039680).

Almost surely, 2^{13130404301121} is an apocalyptic number.

It is an amenable number.

13130404301121 is a deficient number, since it is larger than the sum of its proper divisors (5139900333759).

13130404301121 is a wasteful number, since it uses less digits than its factorization.

13130404301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19958796.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13130404301121 its reverse (12110340403131), we get a palindrome (25240744704252).

The spelling of 13130404301121 in words is "thirteen trillion, one hundred thirty billion, four hundred four million, three hundred one thousand, one hundred twenty-one".