1020310004010 has 192 divisors, whose sum is σ = 2867857073280. Its totient is φ = 229602263040.

The previous prime is 1020310003987. The next prime is 1020310004011. The reversal of 1020310004010 is 104000130201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1020310004011) 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, 29878626 + ... + 29912754.

It is an arithmetic number, because the mean of its divisors is an integer number (14936755590).

Almost surely, 2^{1020310004010} is an apocalyptic number.

1020310004010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020310004010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433928536640).

1020310004010 is an abundant number, since it is smaller than the sum of its proper divisors (1847547069270).

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

1020310004010 is a wasteful number, since it uses less digits than its factorization.

1020310004010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34313 (or 34240 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1020310004010 its reverse (104000130201), we get a palindrome (1124310134211).

The spelling of 1020310004010 in words is "one trillion, twenty billion, three hundred ten million, four thousand, ten".