10401103313145 has 64 divisors (see below), whose sum is σ = 18614956032000. Its totient is φ = 5510029924800.

The previous prime is 10401103313143. The next prime is 10401103313147. The reversal of 10401103313145 is 54131330110401.

10401103313145 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 10 + 331 + 314 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10401103313143) and next prime (10401103313147).

It is not a de Polignac number, because 10401103313145 - 2¹ = 10401103313143 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10401103313143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440283804 + ... + 440307426.

It is an arithmetic number, because the mean of its divisors is an integer number (290858688000).

Almost surely, 2^{10401103313145} is an apocalyptic number.

10401103313145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10401103313145 is a deficient number, since it is larger than the sum of its proper divisors (8213852718855).

10401103313145 is a wasteful number, since it uses less digits than its factorization.

10401103313145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45387 (or 45381 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10401103313145 its reverse (54131330110401), we get a palindrome (64532433423546).

The spelling of 10401103313145 in words is "ten trillion, four hundred one billion, one hundred three million, three hundred thirteen thousand, one hundred forty-five".