31166213100 has 144 divisors (see below), whose sum is σ = 100039847040. Its totient is φ = 7427340800.

The previous prime is 31166213009. The next prime is 31166213129. The reversal of 31166213100 is 131266113.

It is a super-2 number, since 2×31166213100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114664 + ... + 274736.

It is an arithmetic number, because the mean of its divisors is an integer number (694721160).

Almost surely, 2^31166213100 is an apocalyptic number.

31166213100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31166213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50019923520).

31166213100 is an abundant number, since it is smaller than the sum of its proper divisors (68873633940).

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

31166213100 is a wasteful number, since it uses less digits than its factorization.

31166213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160160 (or 160153 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 31166213100 its reverse (131266113), we get a palindrome (31297479213).

The spelling of 31166213100 in words is "thirty-one billion, one hundred sixty-six million, two hundred thirteen thousand, one hundred".