31145342432200 has 192 divisors, whose sum is σ = 77487034173120. Its totient is φ = 11601106944000.

The previous prime is 31145342432161. The next prime is 31145342432201. The reversal of 31145342432200 is 223424354113.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (31145342432201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219307215 + ... + 219449185.

It is an arithmetic number, because the mean of its divisors is an integer number (403578302985).

Almost surely, 2^{31145342432200} 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 31145342432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38743517086560).

31145342432200 is an abundant number, since it is smaller than the sum of its proper divisors (46341691740920).

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

31145342432200 is a wasteful number, since it uses less digits than its factorization.

31145342432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142688 (or 142679 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 31145342432200 its reverse (223424354113), we get a palindrome (31368766786313).

The spelling of 31145342432200 in words is "thirty-one trillion, one hundred forty-five billion, three hundred forty-two million, four hundred thirty-two thousand, two hundred".