13001022020311 has 32 divisors (see below), whose sum is σ = 14375908008000. Its totient is φ = 11683712222208.

The previous prime is 13001022020299. The next prime is 13001022020341. The reversal of 13001022020311 is 11302022010031.

It is not a de Polignac number, because 13001022020311 - 2¹⁷ = 13001021889239 is a prime.

It is a super-2 number, since 2×13001022020311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001022020341) 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 31 ways as a sum of consecutive naturals, for example, 179961145 + ... + 180033373.

It is an arithmetic number, because the mean of its divisors is an integer number (449247125250).

Almost surely, 2^{13001022020311} is an apocalyptic number.

13001022020311 is a deficient number, since it is larger than the sum of its proper divisors (1374885987689).

13001022020311 is a wasteful number, since it uses less digits than its factorization.

13001022020311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74563.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13001022020311 its reverse (11302022010031), we get a palindrome (24303044030342).

The spelling of 13001022020311 in words is "thirteen trillion, one billion, twenty-two million, twenty thousand, three hundred eleven".