101330111332313 has 16 divisors (see below), whose sum is σ = 104552703989760. Its totient is φ = 98160133170816.

The previous prime is 101330111332253. The next prime is 101330111332319. The reversal of 101330111332313 is 313233111033101.

It is a cyclic number.

It is not a de Polignac number, because 101330111332313 - 2¹⁴ = 101330111315929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101330111332319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5720345 + ... + 15342182.

It is an arithmetic number, because the mean of its divisors is an integer number (6534543999360).

Almost surely, 2^{101330111332313} is an apocalyptic number.

It is an amenable number.

101330111332313 is a deficient number, since it is larger than the sum of its proper divisors (3222592657447).

101330111332313 is a wasteful number, since it uses less digits than its factorization.

101330111332313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21063776.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 101330111332313 its reverse (313233111033101), we get a palindrome (414563222365414).

The spelling of 101330111332313 in words is "one hundred one trillion, three hundred thirty billion, one hundred eleven million, three hundred thirty-two thousand, three hundred thirteen".