1331400321042 has 128 divisors (see below), whose sum is σ = 3089264209920. Its totient is φ = 378692160000.

The previous prime is 1331400321037. The next prime is 1331400321047. The reversal of 1331400321042 is 2401230041331.

1331400321042 = 68449² + 68450² + ... + 68731².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1331400321037) and next prime (1331400321047).

It is not an unprimeable number, because it can be changed into a prime (1331400321047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22178167 + ... + 22238117.

It is an arithmetic number, because the mean of its divisors is an integer number (24134876640).

Almost surely, 2^{1331400321042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331400321042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544632104960).

1331400321042 is an abundant number, since it is smaller than the sum of its proper divisors (1757863888878).

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

1331400321042 is a wasteful number, since it uses less digits than its factorization.

1331400321042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60320.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1331400321042 its reverse (2401230041331), we get a palindrome (3732630362373).

The spelling of 1331400321042 in words is "one trillion, three hundred thirty-one billion, four hundred million, three hundred twenty-one thousand, forty-two".