101320101013 has 2 divisors, whose sum is σ = 101320101014. Its totient is φ = 101320101012.

The previous prime is 101320100951. The next prime is 101320101019. The reversal of 101320101013 is 310101023101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101272242289 + 47858724 = 318233^2 + 6918^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101320101013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101320100984 and 101320101002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101320101019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660050506 + 50660050507.

It is an arithmetic number, because the mean of its divisors is an integer number (50660050507).

Almost surely, 2^101320101013 is an apocalyptic number.

It is an amenable number.

101320101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101320101013 is an equidigital number, since it uses as much as digits as its factorization.

101320101013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101320101013 its reverse (310101023101), we get a palindrome (411421124114).

The spelling of 101320101013 in words is "one hundred one billion, three hundred twenty million, one hundred one thousand, thirteen".