1013101312001 has 8 divisors (see below), whose sum is σ = 1024504416360. Its totient is φ = 1001698651008.

The previous prime is 1013101311983. The next prime is 1013101312021. The reversal of 1013101312001 is 1002131013101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24001445776 + 989099866225 = 154924^2 + 994535^2 .

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 1013101312001 - 2¹⁴ = 1013101295617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013101312021) 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, 7131275 + ... + 7271951.

It is an arithmetic number, because the mean of its divisors is an integer number (128063052045).

Almost surely, 2^{1013101312001} is an apocalyptic number.

It is an amenable number.

1013101312001 is a deficient number, since it is larger than the sum of its proper divisors (11403104359).

1013101312001 is an equidigital number, since it uses as much as digits as its factorization.

1013101312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221683.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1013101312001 its reverse (1002131013101), we get a palindrome (2015232325102).

The spelling of 1013101312001 in words is "one trillion, thirteen billion, one hundred one million, three hundred twelve thousand, one".