1310240042136 has 128 divisors (see below), whose sum is σ = 3668673254400. Its totient is φ = 433257027840.

The previous prime is 1310240042129. The next prime is 1310240042143. The reversal of 1310240042136 is 6312400420131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1310240042129) and next prime (1310240042143).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44698861 + ... + 44728163.

It is an arithmetic number, because the mean of its divisors is an integer number (28661509800).

Almost surely, 2^{1310240042136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310240042136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834336627200).

1310240042136 is an abundant number, since it is smaller than the sum of its proper divisors (2358433212264).

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

1310240042136 is a wasteful number, since it uses less digits than its factorization.

1310240042136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30966 (or 30956 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1310240042136 its reverse (6312400420131), we get a palindrome (7622640462267).

The spelling of 1310240042136 in words is "one trillion, three hundred ten billion, two hundred forty million, forty-two thousand, one hundred thirty-six".