1031142334000 has 80 divisors (see below), whose sum is σ = 2497010181120. Its totient is φ = 411843532800.

The previous prime is 1031142333967. The next prime is 1031142334049. The reversal of 1031142334000 is 4332411301.

1031142334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962961 + ... + 1729039.

It is an arithmetic number, because the mean of its divisors is an integer number (31212627264).

Almost surely, 2^{1031142334000} is an apocalyptic number.

1031142334000 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 1031142334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248505090560).

1031142334000 is an abundant number, since it is smaller than the sum of its proper divisors (1465867847120).

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

1031142334000 is an equidigital number, since it uses as much as digits as its factorization.

1031142334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766775 (or 766759 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1031142334000 its reverse (4332411301), we get a palindrome (1035474745301).

The spelling of 1031142334000 in words is "one trillion, thirty-one billion, one hundred forty-two million, three hundred thirty-four thousand".