81314120000 has 70 divisors (see below), whose sum is σ = 201632689698. Its totient is φ = 32525632000.

The previous prime is 81314119981. The next prime is 81314120011. The reversal of 81314120000 is 2141318.

It can be written as a sum of positive squares in 5 ways, for example, as 12031457344 + 69282662656 = 109688^2 + 263216^2 .

It is a super-2 number, since 2×81314120000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 976427 + ... + 1056426.

Almost surely, 2^81314120000 is an apocalyptic number.

81314120000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81314120000 is an abundant number, since it is smaller than the sum of its proper divisors (120318569698).

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

81314120000 is an equidigital number, since it uses as much as digits as its factorization.

81314120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032885 (or 2032860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 81314120000 its reverse (2141318), we get a palindrome (81316261318).

The spelling of 81314120000 in words is "eighty-one billion, three hundred fourteen million, one hundred twenty thousand".