10114434133020 has 288 divisors, whose sum is σ = 37039256916480. Its totient is φ = 2182452595200.

The previous prime is 10114434132991. The next prime is 10114434133021. The reversal of 10114434133020 is 2033143441101.

10114434133020 is a `hidden beast` number, since 1 + 0 + 1 + 14 + 4 + 341 + 3 + 302 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114434133021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6028570 + ... + 7521470.

It is an arithmetic number, because the mean of its divisors is an integer number (128608530960).

Almost surely, 2^{10114434133020} is an apocalyptic number.

10114434133020 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 10114434133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519628458240).

10114434133020 is an abundant number, since it is smaller than the sum of its proper divisors (26924822783460).

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

10114434133020 is a wasteful number, since it uses less digits than its factorization.

10114434133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493225 (or 1493220 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10114434133020 its reverse (2033143441101), we get a palindrome (12147577574121).

The spelling of 10114434133020 in words is "ten trillion, one hundred fourteen billion, four hundred thirty-four million, one hundred thirty-three thousand, twenty".