13123011000 has 256 divisors, whose sum is σ = 45621688320. Its totient is φ = 3113280000.

The previous prime is 13123010933. The next prime is 13123011017. The reversal of 13123011000 is 11032131.

It is a super-2 number, since 2×13123011000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1546770 + ... + 1555230.

It is an arithmetic number, because the mean of its divisors is an integer number (178209720).

Almost surely, 2^13123011000 is an apocalyptic number.

13123011000 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 13123011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22810844160).

13123011000 is an abundant number, since it is smaller than the sum of its proper divisors (32498677320).

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

13123011000 is a wasteful number, since it uses less digits than its factorization.

13123011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8543 (or 8529 counting only the distinct ones).

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

Adding to 13123011000 its reverse (11032131), we get a palindrome (13134043131).

The spelling of 13123011000 in words is "thirteen billion, one hundred twenty-three million, eleven thousand".