1378311202305 has 48 divisors (see below), whose sum is σ = 2403217921104. Its totient is φ = 730753228800.

The previous prime is 1378311202211. The next prime is 1378311202339. The reversal of 1378311202305 is 5032021138731.

It is a happy number.

1378311202305 is a `hidden beast` number, since 1 + 37 + 8 + 311 + 2 + 0 + 2 + 305 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 56620678401 + 1321690523904 = 237951^2 + 1149648^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1378311202305 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1378311202305.

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, 10582137 + ... + 10711593.

It is an arithmetic number, because the mean of its divisors is an integer number (50067040023).

Almost surely, 2^{1378311202305} is an apocalyptic number.

1378311202305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1378311202305 is a deficient number, since it is larger than the sum of its proper divisors (1024906718799).

1378311202305 is a wasteful number, since it uses less digits than its factorization.

1378311202305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130866 (or 130863 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1378311202305 in words is "one trillion, three hundred seventy-eight billion, three hundred eleven million, two hundred two thousand, three hundred five".