1311013012140 has 144 divisors (see below), whose sum is σ = 4283529003936. Its totient is φ = 322644096000.

The previous prime is 1311013012103. The next prime is 1311013012189. The reversal of 1311013012140 is 412103101131.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11763880 + ... + 11874800.

It is an arithmetic number, because the mean of its divisors is an integer number (29746729194).

Almost surely, 2^{1311013012140} is an apocalyptic number.

1311013012140 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 1311013012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141764501968).

1311013012140 is an abundant number, since it is smaller than the sum of its proper divisors (2972515991796).

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

1311013012140 is a wasteful number, since it uses less digits than its factorization.

1311013012140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116000 (or 115995 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1311013012140 its reverse (412103101131), we get a palindrome (1723116113271).

The spelling of 1311013012140 in words is "one trillion, three hundred eleven billion, thirteen million, twelve thousand, one hundred forty".