13011001020 has 72 divisors (see below), whose sum is σ = 39484894176. Its totient is φ = 3468001152.

The previous prime is 13011000973. The next prime is 13011001021. The reversal of 13011001020 is 2010011031.

It is a super-2 number, since 2×13011001020² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13011000993 and 13011001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011001021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404449 + ... + 435431.

It is an arithmetic number, because the mean of its divisors is an integer number (548401308).

Almost surely, 2^13011001020 is an apocalyptic number.

13011001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011001020 is an abundant number, since it is smaller than the sum of its proper divisors (26473893156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13011001020 is a wasteful number, since it uses less digits than its factorization.

13011001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33331 (or 33326 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13011001020 its reverse (2010011031), we get a palindrome (15021012051).

The spelling of 13011001020 in words is "thirteen billion, eleven million, one thousand, twenty".