10120240314311 has 32 divisors (see below), whose sum is σ = 11306009108160. Its totient is φ = 9002453999616.

The previous prime is 10120240314293. The next prime is 10120240314337. The reversal of 10120240314311 is 11341304202101.

10120240314311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10120240314311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120240314391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285566285 + ... + 285601721.

It is an arithmetic number, because the mean of its divisors is an integer number (353312784630).

Almost surely, 2^{10120240314311} is an apocalyptic number.

10120240314311 is a deficient number, since it is larger than the sum of its proper divisors (1185768793849).

10120240314311 is a wasteful number, since it uses less digits than its factorization.

10120240314311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37523.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10120240314311 its reverse (11341304202101), we get a palindrome (21461544516412).

The spelling of 10120240314311 in words is "ten trillion, one hundred twenty billion, two hundred forty million, three hundred fourteen thousand, three hundred eleven".