1023378106311 has 12 divisors (see below), whose sum is σ = 1612595804040. Its totient is φ = 620229155280.

The previous prime is 1023378106307. The next prime is 1023378106321. The reversal of 1023378106311 is 1136018733201.

1023378106311 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 7 + 8 + 10 + 631 + 1 = 666.

It is not a de Polignac number, because 1023378106311 - 2² = 1023378106307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023378106301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5168576196 + ... + 5168576393.

It is an arithmetic number, because the mean of its divisors is an integer number (134382983670).

Almost surely, 2^{1023378106311} is an apocalyptic number.

1023378106311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1023378106311 is a deficient number, since it is larger than the sum of its proper divisors (589217697729).

1023378106311 is a wasteful number, since it uses less digits than its factorization.

1023378106311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10337152606 (or 10337152603 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1023378106311 in words is "one trillion, twenty-three billion, three hundred seventy-eight million, one hundred six thousand, three hundred eleven".