123133011000000 has 392 divisors, whose sum is σ = 410162681100480. Its totient is φ = 32599132800000.

The previous prime is 123133010999897. The next prime is 123133011000001. The reversal of 123133011000000 is 110331321.

It is a super-2 number, since 2×123133011000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (123133011000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 416852359 + ... + 417147641.

Almost surely, 2^{123133011000000} is an apocalyptic number.

123133011000000 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 123133011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205081340550240).

123133011000000 is an abundant number, since it is smaller than the sum of its proper divisors (287029670100480).

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

123133011000000 is an frugal number, since it uses more digits than its factorization.

123133011000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295467 (or 295432 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 123133011000000 its reverse (110331321), we get a palindrome (123133121331321).

The spelling of 123133011000000 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, eleven million", and thus it is an aban number.