1311110100000 has 216 divisors, whose sum is σ = 4660291605060. Its totient is φ = 349629120000.

The previous prime is 1311110099977. The next prime is 1311110100023. The reversal of 1311110100000 is 10111131.

It is an interprime number because it is at equal distance from previous prime (1311110099977) and next prime (1311110100023).

It can be written as a sum of positive squares in 6 ways, for example, as 335922249744 + 975187850256 = 579588^2 + 987516^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171606 + ... + 1628394.

Almost surely, 2^{1311110100000} is an apocalyptic number.

1311110100000 is a gapful number since it is divisible by the number (10) 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 1311110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330145802530).

1311110100000 is an abundant number, since it is smaller than the sum of its proper divisors (3349181505060).

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

1311110100000 is an equidigital number, since it uses as much as digits as its factorization.

1311110100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456830 (or 1456799 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1311110100000 its reverse (10111131), we get a palindrome (1311120211131).

The spelling of 1311110100000 in words is "one trillion, three hundred eleven billion, one hundred ten million, one hundred thousand".