1312121010 has 64 divisors (see below), whose sum is σ = 3246406272. Its totient is φ = 339158016.

The previous prime is 1312121009. The next prime is 1312121051. The reversal of 1312121010 is 101212131.

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, 312042 + ... + 316218.

It is an arithmetic number, because the mean of its divisors is an integer number (50725098).

Almost surely, 2^1312121010 is an apocalyptic number.

1312121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623203136).

1312121010 is an abundant number, since it is smaller than the sum of its proper divisors (1934285262).

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

1312121010 is a wasteful number, since it uses less digits than its factorization.

1312121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1312121010 is about 36223.2109289058. The cubic root of 1312121010 is about 1094.7743910836.

Adding to 1312121010 its reverse (101212131), we get a palindrome (1413333141).

The spelling of 1312121010 in words is "one billion, three hundred twelve million, one hundred twenty-one thousand, ten".