1331134141000 has 256 divisors, whose sum is σ = 3303350968320. Its totient is φ = 501304320000.

The previous prime is 1331134140979. The next prime is 1331134141111. The reversal of 1331134141000 is 1414311331.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252058360 + ... + 252063640.

It is an arithmetic number, because the mean of its divisors is an integer number (12903714720).

Almost surely, 2^{1331134141000} is an apocalyptic number.

1331134141000 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 1331134141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651675484160).

1331134141000 is an abundant number, since it is smaller than the sum of its proper divisors (1972216827320).

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

1331134141000 is a wasteful number, since it uses less digits than its factorization.

1331134141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1331134141000 its reverse (1414311331), we get a palindrome (1332548452331).

The spelling of 1331134141000 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-four million, one hundred forty-one thousand".