1332121332113 has 16 divisors (see below), whose sum is σ = 1582594070400. Its totient is φ = 1105303774080.

The previous prime is 1332121332107. The next prime is 1332121332119. The reversal of 1332121332113 is 3112331212331.

It is an interprime number because it is at equal distance from previous prime (1332121332107) and next prime (1332121332119).

It is not a de Polignac number, because 1332121332113 - 2¹⁴ = 1332121315729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332121332119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52321733 + ... + 52347186.

It is an arithmetic number, because the mean of its divisors is an integer number (98912129400).

Almost surely, 2^{1332121332113} is an apocalyptic number.

1332121332113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1332121332113 is a deficient number, since it is larger than the sum of its proper divisors (250472738287).

1332121332113 is a wasteful number, since it uses less digits than its factorization.

1332121332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104669032.

The product of its digits is 1944, while the sum is 26.

Adding to 1332121332113 its reverse (3112331212331), we get a palindrome (4444452544444).

The spelling of 1332121332113 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred thirteen".