10313014133140 has 96 divisors (see below), whose sum is σ = 22637374341120. Its totient is φ = 3942691998336.

The previous prime is 10313014133137. The next prime is 10313014133143. The reversal of 10313014133140 is 4133141031301.

It is an interprime number because it is at equal distance from previous prime (10313014133137) and next prime (10313014133143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313014133143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206885059 + ... + 206934901.

It is an arithmetic number, because the mean of its divisors is an integer number (235805982720).

Almost surely, 2^{10313014133140} is an apocalyptic number.

10313014133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313014133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318687170560).

10313014133140 is an abundant number, since it is smaller than the sum of its proper divisors (12324360207980).

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

10313014133140 is a wasteful number, since it uses less digits than its factorization.

10313014133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55061 (or 55059 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10313014133140 its reverse (4133141031301), we get a palindrome (14446155164441).

The spelling of 10313014133140 in words is "ten trillion, three hundred thirteen billion, fourteen million, one hundred thirty-three thousand, one hundred forty".