101133033231000 has 256 divisors, whose sum is σ = 316763948592000. Its totient is φ = 26863831603200.

The previous prime is 101133033230963. The next prime is 101133033231011. The reversal of 101133033231000 is 132330331101.

It is a super-2 number, since 2×101133033231000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3314843746 + ... + 3314874254.

Almost surely, 2^{101133033231000} is an apocalyptic number.

101133033231000 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 101133033231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158381974296000).

101133033231000 is an abundant number, since it is smaller than the sum of its proper divisors (215630915361000).

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

101133033231000 is a wasteful number, since it uses less digits than its factorization.

101133033231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34799 (or 34785 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 101133033231000 its reverse (132330331101), we get a palindrome (101265363562101).

The spelling of 101133033231000 in words is "one hundred one trillion, one hundred thirty-three billion, thirty-three million, two hundred thirty-one thousand".