101130001313 has 8 divisors (see below), whose sum is σ = 110443696320. Its totient is φ = 91836316080.

The previous prime is 101130001289. The next prime is 101130001337. The reversal of 101130001313 is 313100031101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101130001289) and next prime (101130001337).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101130001313 - 2⁸ = 101130001057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101130001393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4991870 + ... + 5012087.

It is an arithmetic number, because the mean of its divisors is an integer number (13805462040).

Almost surely, 2^101130001313 is an apocalyptic number.

It is an amenable number.

101130001313 is a deficient number, since it is larger than the sum of its proper divisors (9313695007).

101130001313 is a wasteful number, since it uses less digits than its factorization.

101130001313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004887.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101130001313 its reverse (313100031101), we get a palindrome (414230032414).

The spelling of 101130001313 in words is "one hundred one billion, one hundred thirty million, one thousand, three hundred thirteen".