1311012101131 has 8 divisors (see below), whose sum is σ = 1330603949520. Its totient is φ = 1291420973568.

The previous prime is 1311012101129. The next prime is 1311012101137.

1311012101131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1311012101131 - 2¹ = 1311012101129 is a prime.

It is a super-3 number, since 3×1311012101131³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311012101137) 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 7 ways as a sum of consecutive naturals, for example, 4316475 + ... + 4610203.

It is an arithmetic number, because the mean of its divisors is an integer number (166325493690).

Almost surely, 2^{1311012101131} is an apocalyptic number.

1311012101131 is a deficient number, since it is larger than the sum of its proper divisors (19591848389).

1311012101131 is an equidigital number, since it uses as much as digits as its factorization.

1311012101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360413.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 1311012101131 in words is "one trillion, three hundred eleven billion, twelve million, one hundred one thousand, one hundred thirty-one".