103032233121132 has 384 divisors, whose sum is σ = 313017965568000. Its totient is φ = 28701286606080.

The previous prime is 103032233121107. The next prime is 103032233121151. The reversal of 103032233121132 is 231121332230301.

103032233121132 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 322 + 331 + 2 + 1 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×103032233121132² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103032233121096 and 103032233121105.

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, 5360947419 + ... + 5360966637.

It is an arithmetic number, because the mean of its divisors is an integer number (815150952000).

Almost surely, 2^{103032233121132} is an apocalyptic number.

103032233121132 is a gapful number since it is divisible by the number (12) 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 103032233121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156508982784000).

103032233121132 is an abundant number, since it is smaller than the sum of its proper divisors (209985732446868).

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

103032233121132 is a wasteful number, since it uses less digits than its factorization.

103032233121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20386 (or 20378 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103032233121132 its reverse (231121332230301), we get a palindrome (334153565351433).

The spelling of 103032233121132 in words is "one hundred three trillion, thirty-two billion, two hundred thirty-three million, one hundred twenty-one thousand, one hundred thirty-two".