30033132131100 has 432 divisors, whose sum is σ = 106793494778880. Its totient is φ = 6486975936000.

The previous prime is 30033132131047. The next prime is 30033132131113. The reversal of 30033132131100 is 113123133003.

It is a super-2 number, since 2×30033132131100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19286625 + ... + 20785575.

It is an arithmetic number, because the mean of its divisors is an integer number (247207163840).

Almost surely, 2^{30033132131100} is an apocalyptic number.

30033132131100 is a gapful number since it is divisible by the number (30) 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 30033132131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53396747389440).

30033132131100 is an abundant number, since it is smaller than the sum of its proper divisors (76760362647780).

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

30033132131100 is a wasteful number, since it uses less digits than its factorization.

30033132131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499058 (or 1499044 counting only the distinct ones).

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

Adding to 30033132131100 its reverse (113123133003), we get a palindrome (30146255264103).

The spelling of 30033132131100 in words is "thirty trillion, thirty-three billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred".