1331411334030 has 96 divisors (see below), whose sum is σ = 3593726889120. Its totient is φ = 350764905600.

The previous prime is 1331411333893. The next prime is 1331411334031. The reversal of 1331411334030 is 304331141331.

1331411334030 is a `hidden beast` number, since 1 + 3 + 314 + 1 + 1 + 3 + 340 + 3 + 0 = 666.

It is a super-2 number, since 2×1331411334030² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1331411333985 and 1331411334003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331411334031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1502130 + ... + 2217930.

It is an arithmetic number, because the mean of its divisors is an integer number (37434655095).

Almost surely, 2^{1331411334030} is an apocalyptic number.

1331411334030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331411334030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796863444560).

1331411334030 is an abundant number, since it is smaller than the sum of its proper divisors (2262315555090).

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

1331411334030 is an equidigital number, since it uses as much as digits as its factorization.

1331411334030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715983 (or 715894 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1331411334030 its reverse (304331141331), we get a palindrome (1635742475361).

The spelling of 1331411334030 in words is "one trillion, three hundred thirty-one billion, four hundred eleven million, three hundred thirty-four thousand, thirty".