1311120002010 has 256 divisors, whose sum is σ = 3982442978304. Its totient is φ = 268822167552.

The previous prime is 1311120001999. The next prime is 1311120002021. The reversal of 1311120002010 is 102000211131.

It is an interprime number because it is at equal distance from previous prime (1311120001999) and next prime (1311120002021).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86153922 + ... + 86169138.

It is an arithmetic number, because the mean of its divisors is an integer number (15556417884).

Almost surely, 2^{1311120002010} is an apocalyptic number.

1311120002010 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 1311120002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991221489152).

1311120002010 is an abundant number, since it is smaller than the sum of its proper divisors (2671322976294).

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

1311120002010 is a wasteful number, since it uses less digits than its factorization.

1311120002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16137.

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

Adding to 1311120002010 its reverse (102000211131), we get a palindrome (1413120213141).

The spelling of 1311120002010 in words is "one trillion, three hundred eleven billion, one hundred twenty million, two thousand, ten".