31100011112201 has 8 divisors (see below), whose sum is σ = 31922816152008. Its totient is φ = 30287301840000.

The previous prime is 31100011112189. The next prime is 31100011112213. The reversal of 31100011112201 is 10221111000113.

It is an interprime number because it is at equal distance from previous prime (31100011112189) and next prime (31100011112213).

It can be written as a sum of positive squares in 4 ways, for example, as 12838713103225 + 18261298008976 = 3583115^2 + 4273324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31100011112201 is a prime.

It is a super-2 number, since 2×31100011112201² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31100011112231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2523935660 + ... + 2523947981.

It is an arithmetic number, because the mean of its divisors is an integer number (3990352019001).

Almost surely, 2^{31100011112201} is an apocalyptic number.

It is an amenable number.

31100011112201 is a deficient number, since it is larger than the sum of its proper divisors (822805039807).

31100011112201 is a wasteful number, since it uses less digits than its factorization.

31100011112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047883803.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 31100011112201 its reverse (10221111000113), we get a palindrome (41321122112314).

The spelling of 31100011112201 in words is "thirty-one trillion, one hundred billion, eleven million, one hundred twelve thousand, two hundred one".