1142131324334 has 192 divisors, whose sum is σ = 2354370834816. Its totient is φ = 404300160000.

The previous prime is 1142131324319. The next prime is 1142131324349. The reversal of 1142131324334 is 4334231312411.

It is an interprime number because it is at equal distance from previous prime (1142131324319) and next prime (1142131324349).

It is a self number, because there is not a number n which added to its sum of digits gives 1142131324334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 402582764 + ... + 402585600.

It is an arithmetic number, because the mean of its divisors is an integer number (12262348098).

Almost surely, 2^{1142131324334} is an apocalyptic number.

1142131324334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1142131324334 is an abundant number, since it is smaller than the sum of its proper divisors (1212239510482).

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

1142131324334 is a wasteful number, since it uses less digits than its factorization.

1142131324334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3152 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 1142131324334 its reverse (4334231312411), we get a palindrome (5476362636745).

The spelling of 1142131324334 in words is "one trillion, one hundred forty-two billion, one hundred thirty-one million, three hundred twenty-four thousand, three hundred thirty-four".