11234131040000 has 720 divisors, whose sum is σ = 32087069650944. Its totient is φ = 3884390400000.

The previous prime is 11234131039961. The next prime is 11234131040039. The reversal of 11234131040000 is 4013143211.

It is an interprime number because it is at equal distance from previous prime (11234131039961) and next prime (11234131040039).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7731679274 + ... + 7731680726.

Almost surely, 2^{11234131040000} is an apocalyptic number.

11234131040000 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 11234131040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16043534825472).

11234131040000 is an abundant number, since it is smaller than the sum of its proper divisors (20852938610944).

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

11234131040000 is a wasteful number, since it uses less digits than its factorization.

11234131040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11234131040000 its reverse (4013143211), we get a palindrome (11238144183211).

The spelling of 11234131040000 in words is "eleven trillion, two hundred thirty-four billion, one hundred thirty-one million, forty thousand".