10132033133442 has 192 divisors, whose sum is σ = 23850986987520. Its totient is φ = 2844501580800.

The previous prime is 10132033133429. The next prime is 10132033133479. The reversal of 10132033133442 is 24433133023101.

It is a super-3 number, since 3×10132033133442³ (a number of 40 digits) contains 333 as substring.

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, 2861346192 + ... + 2861349732.

It is an arithmetic number, because the mean of its divisors is an integer number (124223890560).

Almost surely, 2^{10132033133442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132033133442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925493493760).

10132033133442 is an abundant number, since it is smaller than the sum of its proper divisors (13718953854078).

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

10132033133442 is a wasteful number, since it uses less digits than its factorization.

10132033133442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 10132033133442 its reverse (24433133023101), we get a palindrome (34565166156543).

The spelling of 10132033133442 in words is "ten trillion, one hundred thirty-two billion, thirty-three million, one hundred thirty-three thousand, four hundred forty-two".