13233023040 has 224 divisors, whose sum is σ = 45328636800. Its totient is φ = 3258351616.

The previous prime is 13233023017. The next prime is 13233023071. The reversal of 13233023040 is 4032033231.

It is a super-2 number, since 2×13233023040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13233022998 and 13233023016.

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, 857311 + ... + 872609.

Almost surely, 2^13233023040 is an apocalyptic number.

13233023040 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 13233023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22664318400).

13233023040 is an abundant number, since it is smaller than the sum of its proper divisors (32095613760).

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

13233023040 is a wasteful number, since it uses less digits than its factorization.

13233023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15389 (or 15379 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13233023040 its reverse (4032033231), we get a palindrome (17265056271).

The spelling of 13233023040 in words is "thirteen billion, two hundred thirty-three million, twenty-three thousand, forty".