31100011213100 has 144 divisors (see below), whose sum is σ = 72908344192320. Its totient is φ = 11472801792000.

The previous prime is 31100011213091. The next prime is 31100011213129. The reversal of 31100011213100 is 131211000113.

It is a happy number.

It is a super-2 number, since 2×31100011213100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15721241 + ... + 17588559.

It is an arithmetic number, because the mean of its divisors is an integer number (506307945780).

Almost surely, 2^{31100011213100} 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 31100011213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36454172096160).

31100011213100 is an abundant number, since it is smaller than the sum of its proper divisors (41808332979220).

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

31100011213100 is a wasteful number, since it uses less digits than its factorization.

31100011213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867548 (or 1867541 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 31100011213100 its reverse (131211000113), we get a palindrome (31231222213213).

The spelling of 31100011213100 in words is "thirty-one trillion, one hundred billion, eleven million, two hundred thirteen thousand, one hundred".