123301001331032 has 128 divisors (see below), whose sum is σ = 284932558794240. Its totient is φ = 48822671738880.

The previous prime is 123301001331031. The next prime is 123301001331047. The reversal of 123301001331032 is 230133100103321.

It is a junction number, because it is equal to n+sod(n) for n = 123301001330989 and 123301001331007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123301001331031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7435907 + ... + 17375117.

It is an arithmetic number, because the mean of its divisors is an integer number (2226035615580).

Almost surely, 2^{123301001331032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123301001331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142466279397120).

123301001331032 is an abundant number, since it is smaller than the sum of its proper divisors (161631557463208).

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

123301001331032 is a wasteful number, since it uses less digits than its factorization.

123301001331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939481 (or 9939477 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 123301001331032 its reverse (230133100103321), we get a palindrome (353434101434353).

The spelling of 123301001331032 in words is "one hundred twenty-three trillion, three hundred one billion, one million, three hundred thirty-one thousand, thirty-two".