103301431002 has 256 divisors, whose sum is σ = 293209804800. Its totient is φ = 26181792000.

The previous prime is 103301430997. The next prime is 103301431003. The reversal of 103301431002 is 200134103301.

103301431002 is a `hidden beast` number, since 10 + 330 + 14 + 310 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103301431003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33225024 + ... + 33228132.

It is an arithmetic number, because the mean of its divisors is an integer number (1145350800).

Almost surely, 2^103301431002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103301431002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146604902400).

103301431002 is an abundant number, since it is smaller than the sum of its proper divisors (189908373798).

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

103301431002 is a wasteful number, since it uses less digits than its factorization.

103301431002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103301431002 its reverse (200134103301), we get a palindrome (303435534303).

The spelling of 103301431002 in words is "one hundred three billion, three hundred one million, four hundred thirty-one thousand, two".