1313121440101 has 8 divisors (see below), whose sum is σ = 1403119511640. Its totient is φ = 1224540661248.

The previous prime is 1313121440089. The next prime is 1313121440119. The reversal of 1313121440101 is 1010441213131.

It can be written as a sum of positive squares in 4 ways, for example, as 455226837025 + 857894603076 = 674705^2 + 926226^2 .

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 1313121440101 - 2²¹ = 1313119342949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313121441101) 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, 354321256 + ... + 354324961.

It is an arithmetic number, because the mean of its divisors is an integer number (175389938955).

Almost surely, 2^{1313121440101} is an apocalyptic number.

It is an amenable number.

1313121440101 is a deficient number, since it is larger than the sum of its proper divisors (89998071539).

1313121440101 is a wasteful number, since it uses less digits than its factorization.

1313121440101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708646343.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1313121440101 its reverse (1010441213131), we get a palindrome (2323562653232).

The spelling of 1313121440101 in words is "one trillion, three hundred thirteen billion, one hundred twenty-one million, four hundred forty thousand, one hundred one".