1293128163075 has 72 divisors (see below), whose sum is σ = 2518510471680. Its totient is φ = 583661332800.

The previous prime is 1293128163073. The next prime is 1293128163079. The reversal of 1293128163075 is 5703618213921.

It is not a de Polignac number, because 1293128163075 - 2¹ = 1293128163073 is a prime.

It is a super-2 number, since 2×1293128163075² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1293128163073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1936711 + ... + 2517360.

Almost surely, 2^{1293128163075} is an apocalyptic number.

1293128163075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1293128163075 is a deficient number, since it is larger than the sum of its proper divisors (1225382308605).

1293128163075 is a wasteful number, since it uses less digits than its factorization.

1293128163075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454177 (or 4454165 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 1293128163075 in words is "one trillion, two hundred ninety-three billion, one hundred twenty-eight million, one hundred sixty-three thousand, seventy-five".