1020131401040 has 40 divisors (see below), whose sum is σ = 2371850055720. Its totient is φ = 408044896256.

The previous prime is 1020131400991. The next prime is 1020131401127. The reversal of 1020131401040 is 401041310201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75051889936 + 945079511104 = 273956^2 + 972152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6311312 + ... + 6470928.

It is an arithmetic number, because the mean of its divisors is an integer number (59296251393).

Almost surely, 2^{1020131401040} is an apocalyptic number.

1020131401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020131401040 is an abundant number, since it is smaller than the sum of its proper divisors (1351718654680).

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

1020131401040 is a wasteful number, since it uses less digits than its factorization.

1020131401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239519 (or 239513 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1020131401040 its reverse (401041310201), we get a palindrome (1421172711241).

The spelling of 1020131401040 in words is "one trillion, twenty billion, one hundred thirty-one million, four hundred one thousand, forty".