1131314324340 has 96 divisors (see below), whose sum is σ = 3258728121600. Its totient is φ = 293039824896.

The previous prime is 1131314324311. The next prime is 1131314324347. The reversal of 1131314324340 is 434234131311.

It is a super-5 number, since 5×1131314324340⁵ (a number of 61 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1131314324298 and 1131314324307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131314324347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 904404 + ... + 1755156.

It is an arithmetic number, because the mean of its divisors is an integer number (33945084600).

Almost surely, 2^{1131314324340} is an apocalyptic number.

1131314324340 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 1131314324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629364060800).

1131314324340 is an abundant number, since it is smaller than the sum of its proper divisors (2127413797260).

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

1131314324340 is a wasteful number, since it uses less digits than its factorization.

1131314324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851401 (or 851399 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 1131314324340 its reverse (434234131311), we get a palindrome (1565548455651).

The spelling of 1131314324340 in words is "one trillion, one hundred thirty-one billion, three hundred fourteen million, three hundred twenty-four thousand, three hundred forty".