1330331101513 has 16 divisors (see below), whose sum is σ = 1361691110160. Its totient is φ = 1299210305536.

The previous prime is 1330331101501. The next prime is 1330331101529. The reversal of 1330331101513 is 3151011330331.

It can be written as a sum of positive squares in 8 ways, for example, as 10010602809 + 1320320498704 = 100053^2 + 1149052^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330331101513 - 2⁵ = 1330331101481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330331107513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19157331 + ... + 19226647.

It is an arithmetic number, because the mean of its divisors is an integer number (85105694385).

Almost surely, 2^{1330331101513} is an apocalyptic number.

It is an amenable number.

1330331101513 is a deficient number, since it is larger than the sum of its proper divisors (31360008647).

1330331101513 is a wasteful number, since it uses less digits than its factorization.

1330331101513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71036.

The product of its (nonzero) digits is 1215, while the sum is 25.

Adding to 1330331101513 its reverse (3151011330331), we get a palindrome (4481342431844).

The spelling of 1330331101513 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, one hundred one thousand, five hundred thirteen".