31200410002300 has 144 divisors (see below), whose sum is σ = 84425665911552. Its totient is φ = 9723147033600.

The previous prime is 31200410002231. The next prime is 31200410002301. The reversal of 31200410002300 is 320001400213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200410002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45265044 + ... + 45949156.

It is an arithmetic number, because the mean of its divisors is an integer number (586289346608).

Almost surely, 2^{31200410002300} 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 31200410002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42212832955776).

31200410002300 is an abundant number, since it is smaller than the sum of its proper divisors (53225255909252).

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

31200410002300 is a wasteful number, since it uses less digits than its factorization.

31200410002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690068 (or 690061 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31200410002300 its reverse (320001400213), we get a palindrome (31520411402513).

The spelling of 31200410002300 in words is "thirty-one trillion, two hundred billion, four hundred ten million, two thousand, three hundred".