13011003120 has 160 divisors (see below), whose sum is σ = 42117304320. Its totient is φ = 3318461440.

The previous prime is 13011003107. The next prime is 13011003133. The reversal of 13011003120 is 2130011031.

It is an interprime number because it is at equal distance from previous prime (13011003107) and next prime (13011003133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13011003096 and 13011003105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735985 + ... + 753455.

It is an arithmetic number, because the mean of its divisors is an integer number (263233152).

Almost surely, 2^13011003120 is an apocalyptic number.

13011003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058652160).

13011003120 is an abundant number, since it is smaller than the sum of its proper divisors (29106301200).

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

13011003120 is a wasteful number, since it uses less digits than its factorization.

13011003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17623 (or 17617 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13011003120 its reverse (2130011031), we get a palindrome (15141014151).

The spelling of 13011003120 in words is "thirteen billion, eleven million, three thousand, one hundred twenty".