1331113142106 has 96 divisors (see below), whose sum is σ = 3179778638400. Its totient is φ = 399074135040.

The previous prime is 1331113142039. The next prime is 1331113142119. The reversal of 1331113142106 is 6012413111331.

1331113142106 is a `hidden beast` number, since 1 + 3 + 311 + 131 + 4 + 210 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1331113142106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66615625 + ... + 66635603.

It is an arithmetic number, because the mean of its divisors is an integer number (33122694150).

Almost surely, 2^{1331113142106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331113142106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589889319200).

1331113142106 is an abundant number, since it is smaller than the sum of its proper divisors (1848665496294).

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

1331113142106 is a wasteful number, since it uses less digits than its factorization.

1331113142106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23564 (or 23561 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 1331113142106 its reverse (6012413111331), we get a palindrome (7343526253437).

The spelling of 1331113142106 in words is "one trillion, three hundred thirty-one billion, one hundred thirteen million, one hundred forty-two thousand, one hundred six".