101013301001 has 2 divisors, whose sum is σ = 101013301002. Its totient is φ = 101013301000.

The previous prime is 101013300961. The next prime is 101013301007. The reversal of 101013301001 is 100103310101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78288040000 + 22725261001 = 279800^2 + 150749^2 .

It is an emirp because it is prime and its reverse (100103310101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101013301001 - 2²² = 101009106697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101013301007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506650500 + 50506650501.

It is an arithmetic number, because the mean of its divisors is an integer number (50506650501).

Almost surely, 2^101013301001 is an apocalyptic number.

It is an amenable number.

101013301001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013301001 is an equidigital number, since it uses as much as digits as its factorization.

101013301001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 101013301001 its reverse (100103310101), we get a palindrome (201116611102).

The spelling of 101013301001 in words is "one hundred one billion, thirteen million, three hundred one thousand, one".