1231333101000 has 384 divisors, whose sum is σ = 4284635097600. Its totient is φ = 318715430400.

The previous prime is 1231333100983. The next prime is 1231333101013. The reversal of 1231333101000 is 1013331321.

Added to its reverse (1013331321) it gives a square (1232346432321 = 1110111²).

It is a happy number.

1231333101000 is a `hidden beast` number, since 1 + 231 + 3 + 331 + 0 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146182789 + ... + 146191211.

It is an arithmetic number, because the mean of its divisors is an integer number (11157903900).

Almost surely, 2^{1231333101000} is an apocalyptic number.

1231333101000 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 1231333101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142317548800).

1231333101000 is an abundant number, since it is smaller than the sum of its proper divisors (3053301996600).

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

1231333101000 is a wasteful number, since it uses less digits than its factorization.

1231333101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8926 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1231333101000 its reverse (1013331321), we get a palindrome (1232346432321).

The spelling of 1231333101000 in words is "one trillion, two hundred thirty-one billion, three hundred thirty-three million, one hundred one thousand".