81312000007 has 16 divisors (see below), whose sum is σ = 93890210112. Its totient is φ = 68974963200.

The previous prime is 81311999983. The next prime is 81312000041. The reversal of 81312000007 is 70000021318.

It is a cyclic number.

It is not a de Polignac number, because 81312000007 - 2¹¹ = 81311997959 is a prime.

It is a super-2 number, since 2×81312000007² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81312000097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624783 + ... + 1674079.

It is an arithmetic number, because the mean of its divisors is an integer number (5868138132).

Almost surely, 2^81312000007 is an apocalyptic number.

81312000007 is a deficient number, since it is larger than the sum of its proper divisors (12578210105).

81312000007 is a wasteful number, since it uses less digits than its factorization.

81312000007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51738.

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 81312000007 in words is "eighty-one billion, three hundred twelve million, seven", and thus it is an aban number.