1313001223101 has 6 divisors (see below), whose sum is σ = 1896557322270. Its totient is φ = 875334148728.

The previous prime is 1313001223081. The next prime is 1313001223117. The reversal of 1313001223101 is 1013221003131.

1313001223101 is a `hidden beast` number, since 1 + 31 + 300 + 1 + 22 + 310 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1276332803001 + 36668420100 = 1129749^2 + 191490^2 .

It is not a de Polignac number, because 1313001223101 - 2²³ = 1312992834493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313001223201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72944512386 + ... + 72944512403.

It is an arithmetic number, because the mean of its divisors is an integer number (316092887045).

Almost surely, 2^{1313001223101} is an apocalyptic number.

It is an amenable number.

1313001223101 is a deficient number, since it is larger than the sum of its proper divisors (583556099169).

1313001223101 is a wasteful number, since it uses less digits than its factorization.

1313001223101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145889024795 (or 145889024792 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1313001223101 its reverse (1013221003131), we get a palindrome (2326222226232).

The spelling of 1313001223101 in words is "one trillion, three hundred thirteen billion, one million, two hundred twenty-three thousand, one hundred one".