10311355541140 has 24 divisors (see below), whose sum is σ = 21653915604552. Its totient is φ = 4124529079680.

The previous prime is 10311355541119. The next prime is 10311355541171. The reversal of 10311355541140 is 4114555311301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1448850357124 + 8862505184016 = 1203682^2 + 2976996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10311355541096 and 10311355541105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7847602 + ... + 9066838.

It is an arithmetic number, because the mean of its divisors is an integer number (902246483523).

Almost surely, 2^{10311355541140} is an apocalyptic number.

10311355541140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311355541140 is an abundant number, since it is smaller than the sum of its proper divisors (11342560063412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10311355541140 is a wasteful number, since it uses less digits than its factorization.

10311355541140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642107 (or 1642105 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 10311355541140 in words is "ten trillion, three hundred eleven billion, three hundred fifty-five million, five hundred forty-one thousand, one hundred forty".