10333133000140 has 192 divisors, whose sum is σ = 23615034347520. Its totient is φ = 3787948707840.

The previous prime is 10333133000089. The next prime is 10333133000147. The reversal of 10333133000140 is 4100033133301.

It is not an unprimeable number, because it can be changed into a prime (10333133000147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307397974 + ... + 307431586.

It is an arithmetic number, because the mean of its divisors is an integer number (122994970560).

Almost surely, 2^{10333133000140} is an apocalyptic number.

10333133000140 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 10333133000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11807517173760).

10333133000140 is an abundant number, since it is smaller than the sum of its proper divisors (13281901347380).

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

10333133000140 is a wasteful number, since it uses less digits than its factorization.

10333133000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33992 (or 33990 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10333133000140 its reverse (4100033133301), we get a palindrome (14433166133441).

The spelling of 10333133000140 in words is "ten trillion, three hundred thirty-three billion, one hundred thirty-three million, one hundred forty", and thus it is an aban number.