1020143114034 has 64 divisors (see below), whose sum is σ = 2247762935808. Its totient is φ = 306080294400.

The previous prime is 1020143113949. The next prime is 1020143114057. The reversal of 1020143114034 is 4304113410201.

It is a super-2 number, since 2×1020143114034² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020143113995 and 1020143114013.

It is an unprimeable number.

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, 60024642 + ... + 60041634.

It is an arithmetic number, because the mean of its divisors is an integer number (35121295872).

Almost surely, 2^{1020143114034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020143114034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123881467904).

1020143114034 is an abundant number, since it is smaller than the sum of its proper divisors (1227619821774).

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

1020143114034 is a wasteful number, since it uses less digits than its factorization.

1020143114034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25943.

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

Adding to 1020143114034 its reverse (4304113410201), we get a palindrome (5324256524235).

The spelling of 1020143114034 in words is "one trillion, twenty billion, one hundred forty-three million, one hundred fourteen thousand, thirty-four".