1024102213134 has 480 divisors, whose sum is σ = 2896959660672. Its totient is φ = 239600592000.

The previous prime is 1024102213081. The next prime is 1024102213159. The reversal of 1024102213134 is 4313122014201.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 974406909 + ... + 974407959.

Almost surely, 2^{1024102213134} is an apocalyptic number.

1024102213134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024102213134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448479830336).

1024102213134 is an abundant number, since it is smaller than the sum of its proper divisors (1872857447538).

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

1024102213134 is a wasteful number, since it uses less digits than its factorization.

1024102213134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1024102213134 its reverse (4313122014201), we get a palindrome (5337224227335).

The spelling of 1024102213134 in words is "one trillion, twenty-four billion, one hundred two million, two hundred thirteen thousand, one hundred thirty-four".