130101133013 has 2 divisors, whose sum is σ = 130101133014. Its totient is φ = 130101133012.

The previous prime is 130101132989. The next prime is 130101133037. The reversal of 130101133013 is 310331101031.

It is a balanced prime because it is at equal distance from previous prime (130101132989) and next prime (130101133037).

It can be written as a sum of positive squares in only one way, i.e., 126208246564 + 3892886449 = 355258^2 + 62393^2 .

It is a cyclic number.

It is not a de Polignac number, because 130101133013 - 2¹⁰ = 130101131989 is a prime.

It is a super-2 number, since 2×130101133013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130101132982 and 130101133000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130101139013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65050566506 + 65050566507.

It is an arithmetic number, because the mean of its divisors is an integer number (65050566507).

Almost surely, 2^130101133013 is an apocalyptic number.

It is an amenable number.

130101133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130101133013 is an equidigital number, since it uses as much as digits as its factorization.

130101133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 130101133013 its reverse (310331101031), we get a palindrome (440432234044).

The spelling of 130101133013 in words is "one hundred thirty billion, one hundred one million, one hundred thirty-three thousand, thirteen".