1310122120032 has 144 divisors (see below), whose sum is σ = 4195464698880. Its totient is φ = 384200006400.

The previous prime is 1310122119979. The next prime is 1310122120093. The reversal of 1310122120032 is 2300212210131.

1310122120032 is a `hidden beast` number, since 1 + 310 + 122 + 1 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310122119987 and 1310122120014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6571932 + ... + 6768347.

It is an arithmetic number, because the mean of its divisors is an integer number (29135171520).

Almost surely, 2^{1310122120032} is an apocalyptic number.

1310122120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310122120032 is an abundant number, since it is smaller than the sum of its proper divisors (2885342578848).

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

1310122120032 is a wasteful number, since it uses less digits than its factorization.

1310122120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13340337 (or 13340326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1310122120032 its reverse (2300212210131), we get a palindrome (3610334330163).

Subtracting 1310122120032 from its reverse (2300212210131), we obtain a palindrome (990090090099).

The spelling of 1310122120032 in words is "one trillion, three hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, thirty-two".