1020134214300 has 288 divisors, whose sum is σ = 3124963989504. Its totient is φ = 256522752000.

The previous prime is 1020134214283. The next prime is 1020134214329. The reversal of 1020134214300 is 34124310201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546401967 + ... + 546403833.

It is an arithmetic number, because the mean of its divisors is an integer number (10850569408).

Almost surely, 2^{1020134214300} is an apocalyptic number.

1020134214300 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 1020134214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562481994752).

1020134214300 is an abundant number, since it is smaller than the sum of its proper divisors (2104829775204).

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

1020134214300 is a wasteful number, since it uses less digits than its factorization.

1020134214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1020134214300 its reverse (34124310201), we get a palindrome (1054258524501).

The spelling of 1020134214300 in words is "one trillion, twenty billion, one hundred thirty-four million, two hundred fourteen thousand, three hundred".