1312102008 has 288 divisors, whose sum is σ = 4347120960. Its totient is φ = 356106240.

The previous prime is 1312101983. The next prime is 1312102027. The reversal of 1312102008 is 8002012131.

It is a super-2 number, since 2×1312102008² = 3443223358795264128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6798360 + ... + 6798552.

It is an arithmetic number, because the mean of its divisors is an integer number (15094170).

Almost surely, 2^1312102008 is an apocalyptic number.

1312102008 is a gapful number since it is divisible by the number (18) 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 1312102008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173560480).

1312102008 is an abundant number, since it is smaller than the sum of its proper divisors (3035018952).

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

1312102008 is a wasteful number, since it uses less digits than its factorization.

1312102008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1312102008 is about 36222.9486375695. The cubic root of 1312102008 is about 1094.7691062551.

Adding to 1312102008 its reverse (8002012131), we get a palindrome (9314114139).

The spelling of 1312102008 in words is "one billion, three hundred twelve million, one hundred two thousand, eight".