31000103200 has 216 divisors, whose sum is σ = 83544629364. Its totient is φ = 11224012800.

The previous prime is 31000103191. The next prime is 31000103203. The reversal of 31000103200 is 230100013.

It can be written as a sum of positive squares in 6 ways, for example, as 27941128336 + 3058974864 = 167156^2 + 55308^2 .

It is a super-2 number, since 2×31000103200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (31000103203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28361854 + ... + 28362946.

Almost surely, 2^31000103200 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 31000103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41772314682).

31000103200 is an abundant number, since it is smaller than the sum of its proper divisors (52544526164).

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

31000103200 is a wasteful number, since it uses less digits than its factorization.

31000103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 31000103200 its reverse (230100013), we get a palindrome (31230203213).

The spelling of 31000103200 in words is "thirty-one billion, one hundred three thousand, two hundred".