101033102133000 has 768 divisors, whose sum is σ = 361336566988800. Its totient is φ = 25410247948800.

The previous prime is 101033102132987. The next prime is 101033102133053. The reversal of 101033102133000 is 331201330101.

It is a happy number.

101033102133000 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13458515247 + ... + 13458522753.

It is an arithmetic number, because the mean of its divisors is an integer number (470490321600).

Almost surely, 2^{101033102133000} is an apocalyptic number.

101033102133000 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 101033102133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180668283494400).

101033102133000 is an abundant number, since it is smaller than the sum of its proper divisors (260303464855800).

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

101033102133000 is a wasteful number, since it uses less digits than its factorization.

101033102133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8442 counting only the distinct ones).

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

Adding to 101033102133000 its reverse (331201330101), we get a palindrome (101364303463101).

The spelling of 101033102133000 in words is "one hundred one trillion, thirty-three billion, one hundred two million, one hundred thirty-three thousand".