109213581312 has 544 divisors, whose sum is σ = 366411601920. Its totient is φ = 31850496000.

The previous prime is 109213581263. The next prime is 109213581329. The reversal of 109213581312 is 213185312901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603389862 + ... + 603390042.

Almost surely, 2^109213581312 is an apocalyptic number.

109213581312 is a gapful number since it is divisible by the number (12) 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 109213581312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183205800960).

109213581312 is an abundant number, since it is smaller than the sum of its proper divisors (257198020608).

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

109213581312 is an equidigital number, since it uses as much as digits as its factorization.

109213581312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 109213581312 in words is "one hundred nine billion, two hundred thirteen million, five hundred eighty-one thousand, three hundred twelve".