10133102133000 has 512 divisors, whose sum is σ = 43796065996800. Its totient is φ = 2105579232000.

The previous prime is 10133102132969. The next prime is 10133102133041. The reversal of 10133102133000 is 33120133101.

It is a happy number.

10133102133000 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 310 + 21 + 330 + 0 + 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 127 ways as a sum of consecutive naturals, for example, 358014 + ... + 4516013.

It is an arithmetic number, because the mean of its divisors is an integer number (85539191400).

Almost surely, 2^{10133102133000} is an apocalyptic number.

10133102133000 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 10133102133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21898032998400).

10133102133000 is an abundant number, since it is smaller than the sum of its proper divisors (33662963863800).

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

10133102133000 is a wasteful number, since it uses less digits than its factorization.

10133102133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874075 (or 4874055 counting only the distinct ones).

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

Adding to 10133102133000 its reverse (33120133101), we get a palindrome (10166222266101).

The spelling of 10133102133000 in words is "ten trillion, one hundred thirty-three billion, one hundred two million, one hundred thirty-three thousand".